Notice (8)APP/Controller/Component/CommonComponent.php , line 4554 ]Code Context } } if( $tuMain > $mauMain && $tuMain % $mauMain != 0 ) $clone = array(
'id' => '15402',
'chart' => '',
'question_id' => '44163',
'clone_type' => '1',
'phpfile' => null,
'clone_symbol' => null,
'clone_content' => '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>',
'clone_solution_step' => '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h',
'clone_answer' => '(a) 0$(t8) $(m10); (b) $(n20) km/h ',
'array' => object(stdClass) {
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'status' => true,
'created' => '2019-09-08 23:34:33',
'modified' => '2019-09-09 10:39:12',
'original_question' => 'Kenny and Jerry started on a 50-kim cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Kenny cycled faster than Jerry. He arrived at the fining point 40 minutes before Jerry who was 10 km behind him. Jerry did not change his speed throughout and completed it at 11 30.
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was Kenny's average speed for the remaining 40 km of the trip in km/h?</li>
</ol>',
'formula' => array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
),
'time_value' => array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
),
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(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
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'type_criterion' => array(
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(int) 2 => '',
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(int) 7 => '',
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),
'image_gridline' => '',
'code_gridline' => '',
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'topic_id' => '',
'source' => '',
'question_code' => 'P6.SP.JC.19090801-A1',
'tag' => '',
'mark' => '',
'text_working' => '["","","","","","","","","","","","","","","\/\/","","","","","","","","","","","$(n40) \u00f7 $(h2) = $(n20)","","","",""]',
'original_solution' => '(a)<br /> Jerry's average speed<br /> = 10 ÷ <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 15 km/h<br /> <br /> Time that Jerry took for the trip<br /> = 50 ÷ 15<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h<br /> <br /> 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h before 11 30 is 08 10.<br /> <br /> (b)<br /> Time that Kenny took for the remaining 40 km of the trip<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 2 h<br /> <br /> Kenny's average speed<br /> = 40 ÷ 2<br /> = 20 km/h<br /> <br /> Answer(s): (a) 08 10; (b) 20 km/h',
'delete_by' => null,
'delete_date' => null
)
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$answer_fix = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$count_crition = (int) 19
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
(int) 0 => 'n10',
(int) 8 => 'n50',
(int) 9 => 'n50',
(int) 6 => 'n10',
(int) 2 => 't40',
(int) 14 => 'h11',
(int) 18 => 'm30',
(int) 1 => '(n40)',
(int) 25 => '(n40)',
(int) 3 => '(t60)',
(int) 4 => '(st60)',
(int) 5 => '(st60)',
(int) 22 => '(st60)',
(int) 7 => '(n15)',
(int) 10 => '(n15)',
(int) 28 => '(n15)',
(int) 20 => '(h3)',
(int) 21 => '(h3)',
(int) 11 => '(z)',
(int) 12 => '(sz)',
(int) 13 => '(sz)',
(int) 15 => '(t1)',
(int) 16 => '(w)',
(int) 17 => '(w)',
(int) 19 => '(m10)'
)
$tempt = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$list_name_array = array(
(int) 0 => 'Tim',
(int) 1 => 'Peter'
)
$list_array_item = array(
'Jerry' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 35,
'manyArray' => '1',
'capitalize' => '0'
),
'Kenny' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
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$question_content = '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>'
$solution_step = '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h'
$clone_answer = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$formula = array(
(int) 0 => '45-15=30',
(int) 1 => 'if(more_than(30>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '15/1*10=150',
(int) 7 => 'if(whole_number(150))continue',
(int) 8 => 'get_quotient(45,150)=0',
(int) 9 => 'get_remainder(45,150)=45',
(int) 10 => 'print_fraction(45,150)=45/150',
(int) 11 => 'simplify_fraction(45/150)=3/10',
(int) 12 => 'get_numerator(3/10)=3',
(int) 13 => 'get_denominator(3/10)=10',
(int) 14 => '7-0=7',
(int) 15 => '3/10*60=18',
(int) 16 => 'if(more_than(18>9))continue',
(int) 17 => 'if(whole_number(18))continue',
(int) 18 => '30-18=12',
(int) 19 => 'if(more_than(12>9))continue',
(int) 20 => 'do_fraction(+:0,3/10)=$(hw)',
(int) 21 => 'if(more_than(0>0))continue',
(int) 22 => 'do_fraction(+:1/10,1/10)=$(2sz)',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2)',
(int) 24 => 'if(more_than($(h2)>1))continue',
(int) 25 => 'do_fraction(/:30,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>150))continue',
(int) 29 => ''
)
$formula_1 = array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
)
$criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$type_criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$time_value = array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
)
$k = '1567995994231'
$v = object(stdClass) {
cate => 'items'
name => 'Kenny'
range => '61'
attr => object(stdClass) {}
}
$array_system = array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 32
$value_check = 'Peter'
$tempt_array = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$tempt_k = (int) 4
$tempt_v = '30'
$check_who_nnt = (int) 0
$from = '7'
$to = '9'
$findme = '/'
$arr_variable = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter',
'(n40)' => (int) 30,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 150,
'(h3)' => '0',
'(r3)' => '45',
'(z)' => '45/150',
'(sz)' => '3/10',
'(t1)' => (int) 3,
'(t3)' => (int) 10,
'(t8)' => (int) 7,
'(w)' => (float) 18,
'(m10)' => (int) 12
)
$variable_k = '(m10)'
$variable_v = '12'
$formula_k = (int) 20
$formula_v = 'do_fraction(+:$(h3),$(sz))=$(hw)'
$criterion_k = (int) 29
$criterion_v = ''
$type_criterion_k = (int) 29
$type_criterion_v = ''
$variable_show = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,3/10'
$type_cri = 'more_than'
$get_between_value = '12>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,3/10)',
(int) 1 => '(hw)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$match = array(
(int) 0 => 'print_fraction(45,150)',
(int) 1 => '45,150',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,3/10'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '3/10'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '3',
(int) 1 => '10'
)
$tuTwo = '3'
$mauTwo = '10'
$k1 = (int) 29
$v1 = '' CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4554
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119 Notice (8)APP/Controller/Component/CommonComponent.php , line 4554 ]Code Context } } if( $tuMain > $mauMain && $tuMain % $mauMain != 0 ) $clone = array(
'id' => '15402',
'chart' => '',
'question_id' => '44163',
'clone_type' => '1',
'phpfile' => null,
'clone_symbol' => null,
'clone_content' => '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>',
'clone_solution_step' => '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h',
'clone_answer' => '(a) 0$(t8) $(m10); (b) $(n20) km/h ',
'array' => object(stdClass) {
1567994569673 => object(stdClass) {}
1567994633770 => object(stdClass) {}
1567957317267 => object(stdClass) {}
1567957684514 => object(stdClass) {}
1567994682256 => object(stdClass) {}
1567995993397 => object(stdClass) {}
1567995994231 => object(stdClass) {}
},
'clone_image' => null,
'clone_solution_step_image' => null,
'clone_answer_image' => null,
'status' => true,
'created' => '2019-09-08 23:34:33',
'modified' => '2019-09-09 10:39:12',
'original_question' => 'Kenny and Jerry started on a 50-kim cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Kenny cycled faster than Jerry. He arrived at the fining point 40 minutes before Jerry who was 10 km behind him. Jerry did not change his speed throughout and completed it at 11 30.
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was Kenny's average speed for the remaining 40 km of the trip in km/h?</li>
</ol>',
'formula' => array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
),
'time_value' => array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
),
'criterion' => array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
),
'type_criterion' => array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
),
'image_gridline' => '',
'code_gridline' => '',
'level' => '',
'topic_id' => '',
'source' => '',
'question_code' => 'P6.SP.JC.19090801-A1',
'tag' => '',
'mark' => '',
'text_working' => '["","","","","","","","","","","","","","","\/\/","","","","","","","","","","","$(n40) \u00f7 $(h2) = $(n20)","","","",""]',
'original_solution' => '(a)<br /> Jerry's average speed<br /> = 10 ÷ <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 15 km/h<br /> <br /> Time that Jerry took for the trip<br /> = 50 ÷ 15<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h<br /> <br /> 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h before 11 30 is 08 10.<br /> <br /> (b)<br /> Time that Kenny took for the remaining 40 km of the trip<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 2 h<br /> <br /> Kenny's average speed<br /> = 40 ÷ 2<br /> = 20 km/h<br /> <br /> Answer(s): (a) 08 10; (b) 20 km/h',
'delete_by' => null,
'delete_date' => null
)
$Array1 = object(Array1) {
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validate => array()
useDbConfig => 'default'
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id => '61'
data => array()
schemaName => 'ischoolb_orgi'
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[protected] _associationKeys => array(
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[protected] _insertID => null
[protected] _sourceConfigured => true
[protected] _eventManager => object(CakeEventManager) {}
[protected] _validator => null
}
$Prime = object(AppModel) {
useDbConfig => 'default'
useTable => 'primes'
id => false
data => array()
schemaName => null
table => 'primes'
primaryKey => 'id'
validate => array()
validationErrors => array()
validationDomain => null
plugin => null
name => 'Prime'
alias => 'Prime'
tableToModel => array(
'primes' => 'Prime'
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cacheQueries => false
belongsTo => array()
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Behaviors => object(BehaviorCollection) {}
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useConsistentAfterFind => true
findMethods => array(
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'first' => true,
'count' => true,
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'threaded' => true
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[protected] _schema => null
[protected] _associationKeys => array(
'belongsTo' => array(
[maximum depth reached]
),
'hasOne' => array(
[maximum depth reached]
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'hasMany' => array(
[maximum depth reached]
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[protected] _associations => array(
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(int) 1 => 'hasOne',
(int) 2 => 'hasMany',
(int) 3 => 'hasAndBelongsToMany'
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[protected] _insertID => null
[protected] _sourceConfigured => false
[protected] _eventManager => null
[protected] _validator => null
}
$answer_fix = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$count_crition = (int) 19
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
(int) 0 => 'n10',
(int) 8 => 'n50',
(int) 9 => 'n50',
(int) 6 => 'n10',
(int) 2 => 't40',
(int) 14 => 'h11',
(int) 18 => 'm30',
(int) 1 => '(n40)',
(int) 25 => '(n40)',
(int) 3 => '(t60)',
(int) 4 => '(st60)',
(int) 5 => '(st60)',
(int) 22 => '(st60)',
(int) 7 => '(n15)',
(int) 10 => '(n15)',
(int) 28 => '(n15)',
(int) 20 => '(h3)',
(int) 21 => '(h3)',
(int) 11 => '(z)',
(int) 12 => '(sz)',
(int) 13 => '(sz)',
(int) 15 => '(t1)',
(int) 16 => '(w)',
(int) 17 => '(w)',
(int) 19 => '(m10)'
)
$tempt = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$list_name_array = array(
(int) 0 => 'Tim',
(int) 1 => 'Peter'
)
$list_array_item = array(
'Jerry' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 35,
'manyArray' => '1',
'capitalize' => '0'
),
'Kenny' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 32,
'manyArray' => '1',
'capitalize' => '0'
)
)
$list_italic = array()
$array_variable = object(stdClass) {
1567994569673 => object(stdClass) {}
1567994633770 => object(stdClass) {}
1567957317267 => object(stdClass) {}
1567957684514 => object(stdClass) {}
1567994682256 => object(stdClass) {}
1567995993397 => object(stdClass) {}
1567995994231 => object(stdClass) {}
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$question_content = '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>'
$solution_step = '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h'
$clone_answer = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$formula = array(
(int) 0 => '45-15=30',
(int) 1 => 'if(more_than(30>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '15/1*10=150',
(int) 7 => 'if(whole_number(150))continue',
(int) 8 => 'get_quotient(45,150)=0',
(int) 9 => 'get_remainder(45,150)=45',
(int) 10 => 'print_fraction(45,150)=45/150',
(int) 11 => 'simplify_fraction(45/150)=3/10',
(int) 12 => 'get_numerator(3/10)=3',
(int) 13 => 'get_denominator(3/10)=10',
(int) 14 => '7-0=7',
(int) 15 => '3/10*60=18',
(int) 16 => 'if(more_than(18>9))continue',
(int) 17 => 'if(whole_number(18))continue',
(int) 18 => '30-18=12',
(int) 19 => 'if(more_than(12>9))continue',
(int) 20 => 'do_fraction(+:0,3/10)=$(hw)',
(int) 21 => 'if(more_than(0>0))continue',
(int) 22 => 'do_fraction(+:1/10,1/10)=$(2sz)',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2)',
(int) 24 => 'if(more_than($(h2)>1))continue',
(int) 25 => 'do_fraction(/:30,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>150))continue',
(int) 29 => ''
)
$formula_1 = array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
)
$criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$type_criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$time_value = array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
)
$k = '1567995994231'
$v = object(stdClass) {
cate => 'items'
name => 'Kenny'
range => '61'
attr => object(stdClass) {}
}
$array_system = array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 32
$value_check = 'Peter'
$tempt_array = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$tempt_k = (int) 4
$tempt_v = '30'
$check_who_nnt = (int) 0
$from = '7'
$to = '9'
$findme = '/'
$arr_variable = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter',
'(n40)' => (int) 30,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 150,
'(h3)' => '0',
'(r3)' => '45',
'(z)' => '45/150',
'(sz)' => '3/10',
'(t1)' => (int) 3,
'(t3)' => (int) 10,
'(t8)' => (int) 7,
'(w)' => (float) 18,
'(m10)' => (int) 12
)
$variable_k = '(m10)'
$variable_v = '12'
$formula_k = (int) 20
$formula_v = 'do_fraction(+:$(h3),$(sz))=$(hw)'
$criterion_k = (int) 29
$criterion_v = ''
$type_criterion_k = (int) 29
$type_criterion_v = ''
$variable_show = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,3/10'
$type_cri = 'more_than'
$get_between_value = '12>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,3/10)',
(int) 1 => '(hw)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$match = array(
(int) 0 => 'print_fraction(45,150)',
(int) 1 => '45,150',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,3/10'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '3/10'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '3',
(int) 1 => '10'
)
$tuTwo = '3'
$mauTwo = '10'
$k1 = (int) 29
$v1 = '' CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4554
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119 Notice (8)APP/Controller/Component/CommonComponent.php , line 4563 ]Code Context } if( $tuMain % $mauMain === 0 ) $clone = array(
'id' => '15402',
'chart' => '',
'question_id' => '44163',
'clone_type' => '1',
'phpfile' => null,
'clone_symbol' => null,
'clone_content' => '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>',
'clone_solution_step' => '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h',
'clone_answer' => '(a) 0$(t8) $(m10); (b) $(n20) km/h ',
'array' => object(stdClass) {
1567994569673 => object(stdClass) {}
1567994633770 => object(stdClass) {}
1567957317267 => object(stdClass) {}
1567957684514 => object(stdClass) {}
1567994682256 => object(stdClass) {}
1567995993397 => object(stdClass) {}
1567995994231 => object(stdClass) {}
},
'clone_image' => null,
'clone_solution_step_image' => null,
'clone_answer_image' => null,
'status' => true,
'created' => '2019-09-08 23:34:33',
'modified' => '2019-09-09 10:39:12',
'original_question' => 'Kenny and Jerry started on a 50-kim cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Kenny cycled faster than Jerry. He arrived at the fining point 40 minutes before Jerry who was 10 km behind him. Jerry did not change his speed throughout and completed it at 11 30.
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was Kenny's average speed for the remaining 40 km of the trip in km/h?</li>
</ol>',
'formula' => array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
),
'time_value' => array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
),
'criterion' => array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
),
'type_criterion' => array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
),
'image_gridline' => '',
'code_gridline' => '',
'level' => '',
'topic_id' => '',
'source' => '',
'question_code' => 'P6.SP.JC.19090801-A1',
'tag' => '',
'mark' => '',
'text_working' => '["","","","","","","","","","","","","","","\/\/","","","","","","","","","","","$(n40) \u00f7 $(h2) = $(n20)","","","",""]',
'original_solution' => '(a)<br /> Jerry's average speed<br /> = 10 ÷ <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 15 km/h<br /> <br /> Time that Jerry took for the trip<br /> = 50 ÷ 15<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h<br /> <br /> 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h before 11 30 is 08 10.<br /> <br /> (b)<br /> Time that Kenny took for the remaining 40 km of the trip<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 2 h<br /> <br /> Kenny's average speed<br /> = 40 ÷ 2<br /> = 20 km/h<br /> <br /> Answer(s): (a) 08 10; (b) 20 km/h',
'delete_by' => null,
'delete_date' => null
)
$Array1 = object(Array1) {
table => 'array1s'
validate => array()
useDbConfig => 'default'
useTable => 'array1s'
id => '61'
data => array()
schemaName => 'ischoolb_orgi'
primaryKey => 'id'
validationErrors => array()
validationDomain => null
tablePrefix => ''
plugin => null
name => 'Array1'
alias => 'Array1'
tableToModel => array(
'array1s' => 'Array1'
)
cacheQueries => false
belongsTo => array()
hasOne => array()
hasMany => array()
hasAndBelongsToMany => array()
actsAs => null
Behaviors => object(BehaviorCollection) {}
whitelist => array()
cacheSources => true
findQueryType => null
recursive => (int) 1
order => null
virtualFields => array()
__backAssociation => array()
__backInnerAssociation => array()
__backOriginalAssociation => array()
__backContainableAssociation => array()
__safeUpdateMode => false
useConsistentAfterFind => true
findMethods => array(
'all' => true,
'first' => true,
'count' => true,
'neighbors' => true,
'list' => true,
'threaded' => true
)
[protected] _schema => array(
'id' => array(
[maximum depth reached]
),
'name' => array(
[maximum depth reached]
),
'content' => array(
[maximum depth reached]
),
'note' => array(
[maximum depth reached]
),
'created' => array(
[maximum depth reached]
),
'modified' => array(
[maximum depth reached]
)
)
[protected] _associationKeys => array(
'belongsTo' => array(
[maximum depth reached]
),
'hasOne' => array(
[maximum depth reached]
),
'hasMany' => array(
[maximum depth reached]
),
'hasAndBelongsToMany' => array(
[maximum depth reached]
)
)
[protected] _associations => array(
(int) 0 => 'belongsTo',
(int) 1 => 'hasOne',
(int) 2 => 'hasMany',
(int) 3 => 'hasAndBelongsToMany'
)
[protected] _insertID => null
[protected] _sourceConfigured => true
[protected] _eventManager => object(CakeEventManager) {}
[protected] _validator => null
}
$Prime = object(AppModel) {
useDbConfig => 'default'
useTable => 'primes'
id => false
data => array()
schemaName => null
table => 'primes'
primaryKey => 'id'
validate => array()
validationErrors => array()
validationDomain => null
plugin => null
name => 'Prime'
alias => 'Prime'
tableToModel => array(
'primes' => 'Prime'
)
cacheQueries => false
belongsTo => array()
hasOne => array()
hasMany => array()
hasAndBelongsToMany => array()
actsAs => null
Behaviors => object(BehaviorCollection) {}
whitelist => array()
cacheSources => true
findQueryType => null
recursive => (int) 1
order => null
virtualFields => array()
__backAssociation => array()
__backInnerAssociation => array()
__backOriginalAssociation => array()
__backContainableAssociation => array()
__safeUpdateMode => false
useConsistentAfterFind => true
findMethods => array(
'all' => true,
'first' => true,
'count' => true,
'neighbors' => true,
'list' => true,
'threaded' => true
)
[protected] _schema => null
[protected] _associationKeys => array(
'belongsTo' => array(
[maximum depth reached]
),
'hasOne' => array(
[maximum depth reached]
),
'hasMany' => array(
[maximum depth reached]
),
'hasAndBelongsToMany' => array(
[maximum depth reached]
)
)
[protected] _associations => array(
(int) 0 => 'belongsTo',
(int) 1 => 'hasOne',
(int) 2 => 'hasMany',
(int) 3 => 'hasAndBelongsToMany'
)
[protected] _insertID => null
[protected] _sourceConfigured => false
[protected] _eventManager => null
[protected] _validator => null
}
$answer_fix = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$count_crition = (int) 19
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
(int) 0 => 'n10',
(int) 8 => 'n50',
(int) 9 => 'n50',
(int) 6 => 'n10',
(int) 2 => 't40',
(int) 14 => 'h11',
(int) 18 => 'm30',
(int) 1 => '(n40)',
(int) 25 => '(n40)',
(int) 3 => '(t60)',
(int) 4 => '(st60)',
(int) 5 => '(st60)',
(int) 22 => '(st60)',
(int) 7 => '(n15)',
(int) 10 => '(n15)',
(int) 28 => '(n15)',
(int) 20 => '(h3)',
(int) 21 => '(h3)',
(int) 11 => '(z)',
(int) 12 => '(sz)',
(int) 13 => '(sz)',
(int) 15 => '(t1)',
(int) 16 => '(w)',
(int) 17 => '(w)',
(int) 19 => '(m10)'
)
$tempt = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$list_name_array = array(
(int) 0 => 'Tim',
(int) 1 => 'Peter'
)
$list_array_item = array(
'Jerry' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 35,
'manyArray' => '1',
'capitalize' => '0'
),
'Kenny' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 32,
'manyArray' => '1',
'capitalize' => '0'
)
)
$list_italic = array()
$array_variable = object(stdClass) {
1567994569673 => object(stdClass) {}
1567994633770 => object(stdClass) {}
1567957317267 => object(stdClass) {}
1567957684514 => object(stdClass) {}
1567994682256 => object(stdClass) {}
1567995993397 => object(stdClass) {}
1567995994231 => object(stdClass) {}
}
$question_content = '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>'
$solution_step = '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h'
$clone_answer = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$formula = array(
(int) 0 => '45-15=30',
(int) 1 => 'if(more_than(30>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '15/1*10=150',
(int) 7 => 'if(whole_number(150))continue',
(int) 8 => 'get_quotient(45,150)=0',
(int) 9 => 'get_remainder(45,150)=45',
(int) 10 => 'print_fraction(45,150)=45/150',
(int) 11 => 'simplify_fraction(45/150)=3/10',
(int) 12 => 'get_numerator(3/10)=3',
(int) 13 => 'get_denominator(3/10)=10',
(int) 14 => '7-0=7',
(int) 15 => '3/10*60=18',
(int) 16 => 'if(more_than(18>9))continue',
(int) 17 => 'if(whole_number(18))continue',
(int) 18 => '30-18=12',
(int) 19 => 'if(more_than(12>9))continue',
(int) 20 => 'do_fraction(+:0,3/10)=$(hw)',
(int) 21 => 'if(more_than(0>0))continue',
(int) 22 => 'do_fraction(+:1/10,1/10)=$(2sz)',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2)',
(int) 24 => 'if(more_than($(h2)>1))continue',
(int) 25 => 'do_fraction(/:30,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>150))continue',
(int) 29 => ''
)
$formula_1 = array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
)
$criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$type_criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$time_value = array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
)
$k = '1567995994231'
$v = object(stdClass) {
cate => 'items'
name => 'Kenny'
range => '61'
attr => object(stdClass) {}
}
$array_system = array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 32
$value_check = 'Peter'
$tempt_array = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$tempt_k = (int) 4
$tempt_v = '30'
$check_who_nnt = (int) 0
$from = '7'
$to = '9'
$findme = '/'
$arr_variable = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter',
'(n40)' => (int) 30,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 150,
'(h3)' => '0',
'(r3)' => '45',
'(z)' => '45/150',
'(sz)' => '3/10',
'(t1)' => (int) 3,
'(t3)' => (int) 10,
'(t8)' => (int) 7,
'(w)' => (float) 18,
'(m10)' => (int) 12
)
$variable_k = '(m10)'
$variable_v = '12'
$formula_k = (int) 20
$formula_v = 'do_fraction(+:$(h3),$(sz))=$(hw)'
$criterion_k = (int) 29
$criterion_v = ''
$type_criterion_k = (int) 29
$type_criterion_v = ''
$variable_show = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,3/10'
$type_cri = 'more_than'
$get_between_value = '12>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,3/10)',
(int) 1 => '(hw)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$match = array(
(int) 0 => 'print_fraction(45,150)',
(int) 1 => '45,150',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,3/10'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '3/10'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '3',
(int) 1 => '10'
)
$tuTwo = '3'
$mauTwo = '10'
$k1 = (int) 29
$v1 = '' CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4563
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119 Notice (8)APP/Controller/Component/CommonComponent.php , line 4563 ]Code Context } if( $tuMain % $mauMain === 0 ) $clone = array(
'id' => '15402',
'chart' => '',
'question_id' => '44163',
'clone_type' => '1',
'phpfile' => null,
'clone_symbol' => null,
'clone_content' => '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>',
'clone_solution_step' => '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h',
'clone_answer' => '(a) 0$(t8) $(m10); (b) $(n20) km/h ',
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'created' => '2019-09-08 23:34:33',
'modified' => '2019-09-09 10:39:12',
'original_question' => 'Kenny and Jerry started on a 50-kim cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Kenny cycled faster than Jerry. He arrived at the fining point 40 minutes before Jerry who was 10 km behind him. Jerry did not change his speed throughout and completed it at 11 30.
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was Kenny's average speed for the remaining 40 km of the trip in km/h?</li>
</ol>',
'formula' => array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
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'time_value' => array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
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(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
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(int) 21 => '',
(int) 22 => '',
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'type_criterion' => array(
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'question_code' => 'P6.SP.JC.19090801-A1',
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'text_working' => '["","","","","","","","","","","","","","","\/\/","","","","","","","","","","","$(n40) \u00f7 $(h2) = $(n20)","","","",""]',
'original_solution' => '(a)<br /> Jerry's average speed<br /> = 10 ÷ <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 15 km/h<br /> <br /> Time that Jerry took for the trip<br /> = 50 ÷ 15<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h<br /> <br /> 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h before 11 30 is 08 10.<br /> <br /> (b)<br /> Time that Kenny took for the remaining 40 km of the trip<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 2 h<br /> <br /> Kenny's average speed<br /> = 40 ÷ 2<br /> = 20 km/h<br /> <br /> Answer(s): (a) 08 10; (b) 20 km/h',
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$answer_fix = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$count_crition = (int) 19
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$array_get = array(
(int) 0 => 'n10',
(int) 8 => 'n50',
(int) 9 => 'n50',
(int) 6 => 'n10',
(int) 2 => 't40',
(int) 14 => 'h11',
(int) 18 => 'm30',
(int) 1 => '(n40)',
(int) 25 => '(n40)',
(int) 3 => '(t60)',
(int) 4 => '(st60)',
(int) 5 => '(st60)',
(int) 22 => '(st60)',
(int) 7 => '(n15)',
(int) 10 => '(n15)',
(int) 28 => '(n15)',
(int) 20 => '(h3)',
(int) 21 => '(h3)',
(int) 11 => '(z)',
(int) 12 => '(sz)',
(int) 13 => '(sz)',
(int) 15 => '(t1)',
(int) 16 => '(w)',
(int) 17 => '(w)',
(int) 19 => '(m10)'
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$tempt = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$list_name_array = array(
(int) 0 => 'Tim',
(int) 1 => 'Peter'
)
$list_array_item = array(
'Jerry' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 35,
'manyArray' => '1',
'capitalize' => '0'
),
'Kenny' => array(
'listArray' => array(
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(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
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$question_content = '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>'
$solution_step = '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h'
$clone_answer = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$formula = array(
(int) 0 => '45-15=30',
(int) 1 => 'if(more_than(30>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '15/1*10=150',
(int) 7 => 'if(whole_number(150))continue',
(int) 8 => 'get_quotient(45,150)=0',
(int) 9 => 'get_remainder(45,150)=45',
(int) 10 => 'print_fraction(45,150)=45/150',
(int) 11 => 'simplify_fraction(45/150)=3/10',
(int) 12 => 'get_numerator(3/10)=3',
(int) 13 => 'get_denominator(3/10)=10',
(int) 14 => '7-0=7',
(int) 15 => '3/10*60=18',
(int) 16 => 'if(more_than(18>9))continue',
(int) 17 => 'if(whole_number(18))continue',
(int) 18 => '30-18=12',
(int) 19 => 'if(more_than(12>9))continue',
(int) 20 => 'do_fraction(+:0,3/10)=$(hw)',
(int) 21 => 'if(more_than(0>0))continue',
(int) 22 => 'do_fraction(+:1/10,1/10)=$(2sz)',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2)',
(int) 24 => 'if(more_than($(h2)>1))continue',
(int) 25 => 'do_fraction(/:30,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>150))continue',
(int) 29 => ''
)
$formula_1 = array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
)
$criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$type_criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$time_value = array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
)
$k = '1567995994231'
$v = object(stdClass) {
cate => 'items'
name => 'Kenny'
range => '61'
attr => object(stdClass) {}
}
$array_system = array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 32
$value_check = 'Peter'
$tempt_array = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$tempt_k = (int) 4
$tempt_v = '30'
$check_who_nnt = (int) 0
$from = '7'
$to = '9'
$findme = '/'
$arr_variable = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter',
'(n40)' => (int) 30,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 150,
'(h3)' => '0',
'(r3)' => '45',
'(z)' => '45/150',
'(sz)' => '3/10',
'(t1)' => (int) 3,
'(t3)' => (int) 10,
'(t8)' => (int) 7,
'(w)' => (float) 18,
'(m10)' => (int) 12
)
$variable_k = '(m10)'
$variable_v = '12'
$formula_k = (int) 20
$formula_v = 'do_fraction(+:$(h3),$(sz))=$(hw)'
$criterion_k = (int) 29
$criterion_v = ''
$type_criterion_k = (int) 29
$type_criterion_v = ''
$variable_show = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,3/10'
$type_cri = 'more_than'
$get_between_value = '12>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,3/10)',
(int) 1 => '(hw)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$match = array(
(int) 0 => 'print_fraction(45,150)',
(int) 1 => '45,150',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,3/10'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '3/10'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '3',
(int) 1 => '10'
)
$tuTwo = '3'
$mauTwo = '10'
$k1 = (int) 29
$v1 = '' CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4563
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119 Warning (2)APP/Controller/Component/CommonComponent.php , line 4563 ]Code Context } if( $tuMain % $mauMain === 0 ) $clone = array(
'id' => '15402',
'chart' => '',
'question_id' => '44163',
'clone_type' => '1',
'phpfile' => null,
'clone_symbol' => null,
'clone_content' => '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>',
'clone_solution_step' => '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h',
'clone_answer' => '(a) 0$(t8) $(m10); (b) $(n20) km/h ',
'array' => object(stdClass) {
1567994569673 => object(stdClass) {}
1567994633770 => object(stdClass) {}
1567957317267 => object(stdClass) {}
1567957684514 => object(stdClass) {}
1567994682256 => object(stdClass) {}
1567995993397 => object(stdClass) {}
1567995994231 => object(stdClass) {}
},
'clone_image' => null,
'clone_solution_step_image' => null,
'clone_answer_image' => null,
'status' => true,
'created' => '2019-09-08 23:34:33',
'modified' => '2019-09-09 10:39:12',
'original_question' => 'Kenny and Jerry started on a 50-kim cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Kenny cycled faster than Jerry. He arrived at the fining point 40 minutes before Jerry who was 10 km behind him. Jerry did not change his speed throughout and completed it at 11 30.
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was Kenny's average speed for the remaining 40 km of the trip in km/h?</li>
</ol>',
'formula' => array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
),
'time_value' => array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
),
'criterion' => array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
),
'type_criterion' => array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
),
'image_gridline' => '',
'code_gridline' => '',
'level' => '',
'topic_id' => '',
'source' => '',
'question_code' => 'P6.SP.JC.19090801-A1',
'tag' => '',
'mark' => '',
'text_working' => '["","","","","","","","","","","","","","","\/\/","","","","","","","","","","","$(n40) \u00f7 $(h2) = $(n20)","","","",""]',
'original_solution' => '(a)<br /> Jerry's average speed<br /> = 10 ÷ <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 15 km/h<br /> <br /> Time that Jerry took for the trip<br /> = 50 ÷ 15<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h<br /> <br /> 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h before 11 30 is 08 10.<br /> <br /> (b)<br /> Time that Kenny took for the remaining 40 km of the trip<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 2 h<br /> <br /> Kenny's average speed<br /> = 40 ÷ 2<br /> = 20 km/h<br /> <br /> Answer(s): (a) 08 10; (b) 20 km/h',
'delete_by' => null,
'delete_date' => null
)
$Array1 = object(Array1) {
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validate => array()
useDbConfig => 'default'
useTable => 'array1s'
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data => array()
schemaName => 'ischoolb_orgi'
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[protected] _associationKeys => array(
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[protected] _insertID => null
[protected] _sourceConfigured => true
[protected] _eventManager => object(CakeEventManager) {}
[protected] _validator => null
}
$Prime = object(AppModel) {
useDbConfig => 'default'
useTable => 'primes'
id => false
data => array()
schemaName => null
table => 'primes'
primaryKey => 'id'
validate => array()
validationErrors => array()
validationDomain => null
plugin => null
name => 'Prime'
alias => 'Prime'
tableToModel => array(
'primes' => 'Prime'
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cacheQueries => false
belongsTo => array()
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Behaviors => object(BehaviorCollection) {}
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cacheSources => true
findQueryType => null
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virtualFields => array()
__backAssociation => array()
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useConsistentAfterFind => true
findMethods => array(
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'first' => true,
'count' => true,
'neighbors' => true,
'list' => true,
'threaded' => true
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[protected] _schema => null
[protected] _associationKeys => array(
'belongsTo' => array(
[maximum depth reached]
),
'hasOne' => array(
[maximum depth reached]
),
'hasMany' => array(
[maximum depth reached]
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[protected] _associations => array(
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(int) 1 => 'hasOne',
(int) 2 => 'hasMany',
(int) 3 => 'hasAndBelongsToMany'
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[protected] _insertID => null
[protected] _sourceConfigured => false
[protected] _eventManager => null
[protected] _validator => null
}
$answer_fix = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$count_crition = (int) 19
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
(int) 0 => 'n10',
(int) 8 => 'n50',
(int) 9 => 'n50',
(int) 6 => 'n10',
(int) 2 => 't40',
(int) 14 => 'h11',
(int) 18 => 'm30',
(int) 1 => '(n40)',
(int) 25 => '(n40)',
(int) 3 => '(t60)',
(int) 4 => '(st60)',
(int) 5 => '(st60)',
(int) 22 => '(st60)',
(int) 7 => '(n15)',
(int) 10 => '(n15)',
(int) 28 => '(n15)',
(int) 20 => '(h3)',
(int) 21 => '(h3)',
(int) 11 => '(z)',
(int) 12 => '(sz)',
(int) 13 => '(sz)',
(int) 15 => '(t1)',
(int) 16 => '(w)',
(int) 17 => '(w)',
(int) 19 => '(m10)'
)
$tempt = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$list_name_array = array(
(int) 0 => 'Tim',
(int) 1 => 'Peter'
)
$list_array_item = array(
'Jerry' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 35,
'manyArray' => '1',
'capitalize' => '0'
),
'Kenny' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 32,
'manyArray' => '1',
'capitalize' => '0'
)
)
$list_italic = array()
$array_variable = object(stdClass) {
1567994569673 => object(stdClass) {}
1567994633770 => object(stdClass) {}
1567957317267 => object(stdClass) {}
1567957684514 => object(stdClass) {}
1567994682256 => object(stdClass) {}
1567995993397 => object(stdClass) {}
1567995994231 => object(stdClass) {}
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$question_content = '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>'
$solution_step = '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h'
$clone_answer = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$formula = array(
(int) 0 => '45-15=30',
(int) 1 => 'if(more_than(30>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '15/1*10=150',
(int) 7 => 'if(whole_number(150))continue',
(int) 8 => 'get_quotient(45,150)=0',
(int) 9 => 'get_remainder(45,150)=45',
(int) 10 => 'print_fraction(45,150)=45/150',
(int) 11 => 'simplify_fraction(45/150)=3/10',
(int) 12 => 'get_numerator(3/10)=3',
(int) 13 => 'get_denominator(3/10)=10',
(int) 14 => '7-0=7',
(int) 15 => '3/10*60=18',
(int) 16 => 'if(more_than(18>9))continue',
(int) 17 => 'if(whole_number(18))continue',
(int) 18 => '30-18=12',
(int) 19 => 'if(more_than(12>9))continue',
(int) 20 => 'do_fraction(+:0,3/10)=$(hw)',
(int) 21 => 'if(more_than(0>0))continue',
(int) 22 => 'do_fraction(+:1/10,1/10)=$(2sz)',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2)',
(int) 24 => 'if(more_than($(h2)>1))continue',
(int) 25 => 'do_fraction(/:30,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>150))continue',
(int) 29 => ''
)
$formula_1 = array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
)
$criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$type_criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$time_value = array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
)
$k = '1567995994231'
$v = object(stdClass) {
cate => 'items'
name => 'Kenny'
range => '61'
attr => object(stdClass) {}
}
$array_system = array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 32
$value_check = 'Peter'
$tempt_array = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$tempt_k = (int) 4
$tempt_v = '30'
$check_who_nnt = (int) 0
$from = '7'
$to = '9'
$findme = '/'
$arr_variable = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter',
'(n40)' => (int) 30,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 150,
'(h3)' => '0',
'(r3)' => '45',
'(z)' => '45/150',
'(sz)' => '3/10',
'(t1)' => (int) 3,
'(t3)' => (int) 10,
'(t8)' => (int) 7,
'(w)' => (float) 18,
'(m10)' => (int) 12
)
$variable_k = '(m10)'
$variable_v = '12'
$formula_k = (int) 20
$formula_v = 'do_fraction(+:$(h3),$(sz))=$(hw)'
$criterion_k = (int) 29
$criterion_v = ''
$type_criterion_k = (int) 29
$type_criterion_v = ''
$variable_show = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,3/10'
$type_cri = 'more_than'
$get_between_value = '12>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,3/10)',
(int) 1 => '(hw)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$match = array(
(int) 0 => 'print_fraction(45,150)',
(int) 1 => '45,150',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,3/10'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '3/10'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '3',
(int) 1 => '10'
)
$tuTwo = '3'
$mauTwo = '10'
$k1 = (int) 29
$v1 = '' CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4563
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119 Notice (8)APP/Controller/Component/CommonComponent.php , line 4567 ]Code Context $giatri = $tuMain / $mauMain ; }else{ $giatri = $tuMain . '/' . $mauMain ; $clone = array(
'id' => '15402',
'chart' => '',
'question_id' => '44163',
'clone_type' => '1',
'phpfile' => null,
'clone_symbol' => null,
'clone_content' => '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>',
'clone_solution_step' => '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h',
'clone_answer' => '(a) 0$(t8) $(m10); (b) $(n20) km/h ',
'array' => object(stdClass) {
1567994569673 => object(stdClass) {}
1567994633770 => object(stdClass) {}
1567957317267 => object(stdClass) {}
1567957684514 => object(stdClass) {}
1567994682256 => object(stdClass) {}
1567995993397 => object(stdClass) {}
1567995994231 => object(stdClass) {}
},
'clone_image' => null,
'clone_solution_step_image' => null,
'clone_answer_image' => null,
'status' => true,
'created' => '2019-09-08 23:34:33',
'modified' => '2019-09-09 10:39:12',
'original_question' => 'Kenny and Jerry started on a 50-kim cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Kenny cycled faster than Jerry. He arrived at the fining point 40 minutes before Jerry who was 10 km behind him. Jerry did not change his speed throughout and completed it at 11 30.
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was Kenny's average speed for the remaining 40 km of the trip in km/h?</li>
</ol>',
'formula' => array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
),
'time_value' => array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
),
'criterion' => array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
),
'type_criterion' => array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
),
'image_gridline' => '',
'code_gridline' => '',
'level' => '',
'topic_id' => '',
'source' => '',
'question_code' => 'P6.SP.JC.19090801-A1',
'tag' => '',
'mark' => '',
'text_working' => '["","","","","","","","","","","","","","","\/\/","","","","","","","","","","","$(n40) \u00f7 $(h2) = $(n20)","","","",""]',
'original_solution' => '(a)<br /> Jerry's average speed<br /> = 10 ÷ <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 15 km/h<br /> <br /> Time that Jerry took for the trip<br /> = 50 ÷ 15<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h<br /> <br /> 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h before 11 30 is 08 10.<br /> <br /> (b)<br /> Time that Kenny took for the remaining 40 km of the trip<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 2 h<br /> <br /> Kenny's average speed<br /> = 40 ÷ 2<br /> = 20 km/h<br /> <br /> Answer(s): (a) 08 10; (b) 20 km/h',
'delete_by' => null,
'delete_date' => null
)
$Array1 = object(Array1) {
table => 'array1s'
validate => array()
useDbConfig => 'default'
useTable => 'array1s'
id => '61'
data => array()
schemaName => 'ischoolb_orgi'
primaryKey => 'id'
validationErrors => array()
validationDomain => null
tablePrefix => ''
plugin => null
name => 'Array1'
alias => 'Array1'
tableToModel => array(
'array1s' => 'Array1'
)
cacheQueries => false
belongsTo => array()
hasOne => array()
hasMany => array()
hasAndBelongsToMany => array()
actsAs => null
Behaviors => object(BehaviorCollection) {}
whitelist => array()
cacheSources => true
findQueryType => null
recursive => (int) 1
order => null
virtualFields => array()
__backAssociation => array()
__backInnerAssociation => array()
__backOriginalAssociation => array()
__backContainableAssociation => array()
__safeUpdateMode => false
useConsistentAfterFind => true
findMethods => array(
'all' => true,
'first' => true,
'count' => true,
'neighbors' => true,
'list' => true,
'threaded' => true
)
[protected] _schema => array(
'id' => array(
[maximum depth reached]
),
'name' => array(
[maximum depth reached]
),
'content' => array(
[maximum depth reached]
),
'note' => array(
[maximum depth reached]
),
'created' => array(
[maximum depth reached]
),
'modified' => array(
[maximum depth reached]
)
)
[protected] _associationKeys => array(
'belongsTo' => array(
[maximum depth reached]
),
'hasOne' => array(
[maximum depth reached]
),
'hasMany' => array(
[maximum depth reached]
),
'hasAndBelongsToMany' => array(
[maximum depth reached]
)
)
[protected] _associations => array(
(int) 0 => 'belongsTo',
(int) 1 => 'hasOne',
(int) 2 => 'hasMany',
(int) 3 => 'hasAndBelongsToMany'
)
[protected] _insertID => null
[protected] _sourceConfigured => true
[protected] _eventManager => object(CakeEventManager) {}
[protected] _validator => null
}
$Prime = object(AppModel) {
useDbConfig => 'default'
useTable => 'primes'
id => false
data => array()
schemaName => null
table => 'primes'
primaryKey => 'id'
validate => array()
validationErrors => array()
validationDomain => null
plugin => null
name => 'Prime'
alias => 'Prime'
tableToModel => array(
'primes' => 'Prime'
)
cacheQueries => false
belongsTo => array()
hasOne => array()
hasMany => array()
hasAndBelongsToMany => array()
actsAs => null
Behaviors => object(BehaviorCollection) {}
whitelist => array()
cacheSources => true
findQueryType => null
recursive => (int) 1
order => null
virtualFields => array()
__backAssociation => array()
__backInnerAssociation => array()
__backOriginalAssociation => array()
__backContainableAssociation => array()
__safeUpdateMode => false
useConsistentAfterFind => true
findMethods => array(
'all' => true,
'first' => true,
'count' => true,
'neighbors' => true,
'list' => true,
'threaded' => true
)
[protected] _schema => null
[protected] _associationKeys => array(
'belongsTo' => array(
[maximum depth reached]
),
'hasOne' => array(
[maximum depth reached]
),
'hasMany' => array(
[maximum depth reached]
),
'hasAndBelongsToMany' => array(
[maximum depth reached]
)
)
[protected] _associations => array(
(int) 0 => 'belongsTo',
(int) 1 => 'hasOne',
(int) 2 => 'hasMany',
(int) 3 => 'hasAndBelongsToMany'
)
[protected] _insertID => null
[protected] _sourceConfigured => false
[protected] _eventManager => null
[protected] _validator => null
}
$answer_fix = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$count_crition = (int) 19
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
(int) 0 => 'n10',
(int) 8 => 'n50',
(int) 9 => 'n50',
(int) 6 => 'n10',
(int) 2 => 't40',
(int) 14 => 'h11',
(int) 18 => 'm30',
(int) 1 => '(n40)',
(int) 25 => '(n40)',
(int) 3 => '(t60)',
(int) 4 => '(st60)',
(int) 5 => '(st60)',
(int) 22 => '(st60)',
(int) 7 => '(n15)',
(int) 10 => '(n15)',
(int) 28 => '(n15)',
(int) 20 => '(h3)',
(int) 21 => '(h3)',
(int) 11 => '(z)',
(int) 12 => '(sz)',
(int) 13 => '(sz)',
(int) 15 => '(t1)',
(int) 16 => '(w)',
(int) 17 => '(w)',
(int) 19 => '(m10)'
)
$tempt = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$list_name_array = array(
(int) 0 => 'Tim',
(int) 1 => 'Peter'
)
$list_array_item = array(
'Jerry' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 35,
'manyArray' => '1',
'capitalize' => '0'
),
'Kenny' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 32,
'manyArray' => '1',
'capitalize' => '0'
)
)
$list_italic = array()
$array_variable = object(stdClass) {
1567994569673 => object(stdClass) {}
1567994633770 => object(stdClass) {}
1567957317267 => object(stdClass) {}
1567957684514 => object(stdClass) {}
1567994682256 => object(stdClass) {}
1567995993397 => object(stdClass) {}
1567995994231 => object(stdClass) {}
}
$question_content = '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>'
$solution_step = '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h'
$clone_answer = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$formula = array(
(int) 0 => '45-15=30',
(int) 1 => 'if(more_than(30>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '15/1*10=150',
(int) 7 => 'if(whole_number(150))continue',
(int) 8 => 'get_quotient(45,150)=0',
(int) 9 => 'get_remainder(45,150)=45',
(int) 10 => 'print_fraction(45,150)=45/150',
(int) 11 => 'simplify_fraction(45/150)=3/10',
(int) 12 => 'get_numerator(3/10)=3',
(int) 13 => 'get_denominator(3/10)=10',
(int) 14 => '7-0=7',
(int) 15 => '3/10*60=18',
(int) 16 => 'if(more_than(18>9))continue',
(int) 17 => 'if(whole_number(18))continue',
(int) 18 => '30-18=12',
(int) 19 => 'if(more_than(12>9))continue',
(int) 20 => 'do_fraction(+:0,3/10)=$(hw)',
(int) 21 => 'if(more_than(0>0))continue',
(int) 22 => 'do_fraction(+:1/10,1/10)=$(2sz)',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2)',
(int) 24 => 'if(more_than($(h2)>1))continue',
(int) 25 => 'do_fraction(/:30,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>150))continue',
(int) 29 => ''
)
$formula_1 = array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
)
$criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$type_criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$time_value = array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
)
$k = '1567995994231'
$v = object(stdClass) {
cate => 'items'
name => 'Kenny'
range => '61'
attr => object(stdClass) {}
}
$array_system = array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 32
$value_check = 'Peter'
$tempt_array = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$tempt_k = (int) 4
$tempt_v = '30'
$check_who_nnt = (int) 0
$from = '7'
$to = '9'
$findme = '/'
$arr_variable = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter',
'(n40)' => (int) 30,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 150,
'(h3)' => '0',
'(r3)' => '45',
'(z)' => '45/150',
'(sz)' => '3/10',
'(t1)' => (int) 3,
'(t3)' => (int) 10,
'(t8)' => (int) 7,
'(w)' => (float) 18,
'(m10)' => (int) 12
)
$variable_k = '(m10)'
$variable_v = '12'
$formula_k = (int) 20
$formula_v = 'do_fraction(+:$(h3),$(sz))=$(hw)'
$criterion_k = (int) 29
$criterion_v = ''
$type_criterion_k = (int) 29
$type_criterion_v = ''
$variable_show = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,3/10'
$type_cri = 'more_than'
$get_between_value = '12>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,3/10)',
(int) 1 => '(hw)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$match = array(
(int) 0 => 'print_fraction(45,150)',
(int) 1 => '45,150',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,3/10'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '3/10'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '3',
(int) 1 => '10'
)
$tuTwo = '3'
$mauTwo = '10'
$k1 = (int) 29
$v1 = '' CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4567
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119 Notice (8)APP/Controller/Component/CommonComponent.php , line 4567 ]Code Context $giatri = $tuMain / $mauMain ; }else{ $giatri = $tuMain . '/' . $mauMain ; $clone = array(
'id' => '15402',
'chart' => '',
'question_id' => '44163',
'clone_type' => '1',
'phpfile' => null,
'clone_symbol' => null,
'clone_content' => '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>',
'clone_solution_step' => '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h',
'clone_answer' => '(a) 0$(t8) $(m10); (b) $(n20) km/h ',
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'created' => '2019-09-08 23:34:33',
'modified' => '2019-09-09 10:39:12',
'original_question' => 'Kenny and Jerry started on a 50-kim cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Kenny cycled faster than Jerry. He arrived at the fining point 40 minutes before Jerry who was 10 km behind him. Jerry did not change his speed throughout and completed it at 11 30.
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was Kenny's average speed for the remaining 40 km of the trip in km/h?</li>
</ol>',
'formula' => array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
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'time_value' => array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
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(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
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(int) 21 => '',
(int) 22 => '',
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'type_criterion' => array(
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'question_code' => 'P6.SP.JC.19090801-A1',
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'text_working' => '["","","","","","","","","","","","","","","\/\/","","","","","","","","","","","$(n40) \u00f7 $(h2) = $(n20)","","","",""]',
'original_solution' => '(a)<br /> Jerry's average speed<br /> = 10 ÷ <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 15 km/h<br /> <br /> Time that Jerry took for the trip<br /> = 50 ÷ 15<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h<br /> <br /> 3 <span class="frac"><sup>1</sup><sub>3</sub></span> h before 11 30 is 08 10.<br /> <br /> (b)<br /> Time that Kenny took for the remaining 40 km of the trip<br /> = 3 <span class="frac"><sup>1</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span> - <span class="frac"><sup>2</sup><sub>3</sub></span><br /> = 2 h<br /> <br /> Kenny's average speed<br /> = 40 ÷ 2<br /> = 20 km/h<br /> <br /> Answer(s): (a) 08 10; (b) 20 km/h',
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$answer_fix = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$count_crition = (int) 19
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$array_get = array(
(int) 0 => 'n10',
(int) 8 => 'n50',
(int) 9 => 'n50',
(int) 6 => 'n10',
(int) 2 => 't40',
(int) 14 => 'h11',
(int) 18 => 'm30',
(int) 1 => '(n40)',
(int) 25 => '(n40)',
(int) 3 => '(t60)',
(int) 4 => '(st60)',
(int) 5 => '(st60)',
(int) 22 => '(st60)',
(int) 7 => '(n15)',
(int) 10 => '(n15)',
(int) 28 => '(n15)',
(int) 20 => '(h3)',
(int) 21 => '(h3)',
(int) 11 => '(z)',
(int) 12 => '(sz)',
(int) 13 => '(sz)',
(int) 15 => '(t1)',
(int) 16 => '(w)',
(int) 17 => '(w)',
(int) 19 => '(m10)'
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$tempt = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$list_name_array = array(
(int) 0 => 'Tim',
(int) 1 => 'Peter'
)
$list_array_item = array(
'Jerry' => array(
'listArray' => array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
'keyArray' => (int) 35,
'manyArray' => '1',
'capitalize' => '0'
),
'Kenny' => array(
'listArray' => array(
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(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
),
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$question_content = '$(Kenny) and $(Jerry) started on a $(n50)-km cycling trip at the same time. They cycled at the same speed for first $(n10) km. For the remaining $(n40) km, $(Kenny) cycled faster than $(Jerry). He arrived at the finishing point $(t40) minutes before $(Jerry) who was $(n10) km behind him. $(Jerry) did not change his speed throughout and completed it at 0$(h11) $(m30).<br />
<ol>
<li>At what time did the trip begin? Give the answer in 12-hour format.</li>
<li>What was $(Kenny)'s average speed for the remaining $(n40) km of the trip in km/h?</li>
</ol>'
$solution_step = '(a)<br />60 min = 1 h<br />$(t40) min =<span class="frac"><sup>$(t40)</sup><sub>60</sub></span> h = <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> <br /><br />$(Jerry)'s average speed<br /> = $(n10) ÷ <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(n15) km/h<br /> <br /> Time that $(Jerry) took for the trip<br /> = $(n50) ÷ $(n15)<br />= $(h3)$(z) h<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> h<br />= $(h3) h $(w) min<br /> <br />$(h3) h $(w) min before 0$(h11) $(m30) is 0$(t8) $(m10).<br /> <br /> (b)<br />To find the time that $(Kenny) took for the remaining $(n40) km of the trip, we need to use the time that $(Jerry) took subtract that of the time taken for first $(n10) km and the time that $(Kenny) was faster than $(Jerry).<br /><br /> Time that $(Kenny) took for the remaining $(n40) km of the trip<br /> = $(h3)<span class="frac"><sup>$(t1)</sup><sub>$(t3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span> - <span class="frac"><sup>$(tt2)</sup><sub>$(tt3)</sub></span><br /> = $(h2) h<br /> <br /> $(Kenny)'s average speed<br /> = $(n40) ÷ $(h2)<br /> = $(n20) km/h<br /> <br /> Answer(s): (a) 0$(t8) $(m10); (b) $(n20) km/h'
$clone_answer = '(a) 0$(t8) $(m10); (b) $(n20) km/h '
$formula = array(
(int) 0 => '45-15=30',
(int) 1 => 'if(more_than(30>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '15/1*10=150',
(int) 7 => 'if(whole_number(150))continue',
(int) 8 => 'get_quotient(45,150)=0',
(int) 9 => 'get_remainder(45,150)=45',
(int) 10 => 'print_fraction(45,150)=45/150',
(int) 11 => 'simplify_fraction(45/150)=3/10',
(int) 12 => 'get_numerator(3/10)=3',
(int) 13 => 'get_denominator(3/10)=10',
(int) 14 => '7-0=7',
(int) 15 => '3/10*60=18',
(int) 16 => 'if(more_than(18>9))continue',
(int) 17 => 'if(whole_number(18))continue',
(int) 18 => '30-18=12',
(int) 19 => 'if(more_than(12>9))continue',
(int) 20 => 'do_fraction(+:0,3/10)=$(hw)',
(int) 21 => 'if(more_than(0>0))continue',
(int) 22 => 'do_fraction(+:1/10,1/10)=$(2sz)',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2)',
(int) 24 => 'if(more_than($(h2)>1))continue',
(int) 25 => 'do_fraction(/:30,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>150))continue',
(int) 29 => ''
)
$formula_1 = array(
(int) 0 => '$(n50)-$(n10)=$(n40)',
(int) 1 => 'if(more_than($(n40)>20)) continue',
(int) 2 => 'print_fraction($(t40),60)=$(t60) ',
(int) 3 => 'simplify_fraction($(t60))=$(st60) ',
(int) 4 => 'get_numerator($(st60))=$(tt2) ',
(int) 5 => 'get_denominator($(st60))=$(tt3) ',
(int) 6 => '$(n10)/$(tt2)*$(tt3)=$(n15)',
(int) 7 => 'if(whole_number($(n15))) continue',
(int) 8 => 'get_quotient($(n50),$(n15))=$(h3) ',
(int) 9 => 'get_remainder($(n50),$(n15))=$(r3) ',
(int) 10 => 'print_fraction($(r3),$(n15))=$(z) ',
(int) 11 => 'simplify_fraction($(z))=$(sz) ',
(int) 12 => 'get_numerator($(sz))=$(t1) ',
(int) 13 => 'get_denominator($(sz))=$(t3) ',
(int) 14 => '$(h11)-$(h3)=$(t8)',
(int) 15 => '$(t1)/$(t3)*60=$(w)',
(int) 16 => 'if(more_than($(w)>9)) continue',
(int) 17 => 'if(whole_number($(w))) continue',
(int) 18 => '$(m30)-$(w)=$(m10)',
(int) 19 => 'if(more_than($(m10)>9)) continue',
(int) 20 => 'do_fraction(+:$(h3),$(sz))=$(hw) ',
(int) 21 => 'if(more_than($(h3)>0)) continue',
(int) 22 => 'do_fraction(+:$(st60),$(st60))=$(2sz) ',
(int) 23 => 'do_fraction(-:$(hw),$(2sz))=$(h2) ',
(int) 24 => 'if(more_than($(h2)>1)) continue',
(int) 25 => 'do_fraction(/:$(n40),$(h2))=$(n20s) ',
(int) 26 => 'simplify_fraction($(n20s))=$(n20) ',
(int) 27 => 'if(more_than($(n20)>35)) back',
(int) 28 => 'if(more_than($(n20)>$(n15))) continue',
(int) 29 => ''
)
$criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$type_criterion = array(
(int) 0 => '',
(int) 1 => '',
(int) 2 => '',
(int) 3 => '',
(int) 4 => '',
(int) 5 => '',
(int) 6 => '',
(int) 7 => '',
(int) 8 => '',
(int) 9 => '',
(int) 10 => '',
(int) 11 => '',
(int) 12 => '',
(int) 13 => '',
(int) 14 => '',
(int) 15 => '',
(int) 16 => '',
(int) 17 => '',
(int) 18 => '',
(int) 19 => '',
(int) 20 => '',
(int) 21 => '',
(int) 22 => '',
(int) 23 => '',
(int) 24 => '',
(int) 25 => '',
(int) 26 => '',
(int) 27 => '',
(int) 28 => '',
(int) 29 => ''
)
$time_value = array(
(int) 0 => '1567956325806',
(int) 1 => '1567994704507',
(int) 2 => '1567957190303',
(int) 3 => '1567957218666',
(int) 4 => '1567957359423',
(int) 5 => '1567957392416',
(int) 6 => '1567957818212',
(int) 7 => '1567994855125',
(int) 8 => '1567958092589',
(int) 9 => '1567958093258',
(int) 10 => '1567958147508',
(int) 11 => '1567958180968',
(int) 12 => '1567958459449',
(int) 13 => '1567958460096',
(int) 14 => '1567958510560',
(int) 15 => '1567958667042',
(int) 16 => '1567994759217',
(int) 17 => '1567994932721',
(int) 18 => '1567958770962',
(int) 19 => '1567994812657',
(int) 20 => '1567994100663',
(int) 21 => '1567994826916',
(int) 22 => '1567994169469',
(int) 23 => '1567994132128',
(int) 24 => '1567996310765',
(int) 25 => '1567994167512',
(int) 26 => '1567995106038',
(int) 27 => '1567994133018',
(int) 28 => '1567995033025',
(int) 29 => '1567996295687'
)
$k = '1567995994231'
$v = object(stdClass) {
cate => 'items'
name => 'Kenny'
range => '61'
attr => object(stdClass) {}
}
$array_system = array(
(int) 0 => 'Caden',
(int) 1 => 'Luis',
(int) 2 => 'Vaidev',
(int) 3 => 'Archie',
(int) 4 => 'Cole',
(int) 5 => 'Julian',
(int) 6 => 'Jeremy',
(int) 7 => 'Seth',
(int) 8 => 'Pierre',
(int) 9 => 'Japheth',
(int) 10 => 'Neave',
(int) 11 => 'Jenson',
(int) 12 => 'Brandon',
(int) 13 => 'Tom',
(int) 14 => 'Ahmad',
(int) 15 => 'Bryan',
(int) 16 => 'Ryan',
(int) 17 => 'Asher',
(int) 18 => 'Ben',
(int) 19 => 'Carl',
(int) 20 => 'David',
(int) 21 => 'Ethan',
(int) 22 => 'Fred',
(int) 23 => 'George',
(int) 24 => 'Henry',
(int) 25 => 'Ian',
(int) 26 => 'Jack',
(int) 27 => 'Ken',
(int) 28 => 'Liam',
(int) 29 => 'Mark',
(int) 30 => 'Nick',
(int) 31 => 'Oscar',
(int) 32 => 'Peter',
(int) 33 => 'Rael',
(int) 34 => 'Sean',
(int) 35 => 'Tim',
(int) 36 => 'Vincent',
(int) 37 => 'Will',
(int) 38 => 'Xavier',
(int) 39 => 'Zane',
(int) 40 => 'Albert',
(int) 41 => 'Andy',
(int) 42 => 'Bobby',
(int) 43 => 'Billy',
(int) 44 => 'Charlie',
(int) 45 => 'Cody',
(int) 46 => 'Daniel',
(int) 47 => 'Dylan',
(int) 48 => 'Eric',
(int) 49 => 'Elijah',
(int) 50 => 'Fabian',
(int) 51 => 'Flynn',
(int) 52 => 'Gabriel',
(int) 53 => 'Glen',
(int) 54 => 'Harry',
(int) 55 => 'Howard',
(int) 56 => 'Ivan',
(int) 57 => 'John',
(int) 58 => 'Justin',
(int) 59 => 'Luke',
(int) 60 => 'Lee',
(int) 61 => 'Michael',
(int) 62 => 'Owen',
(int) 63 => 'Oliver',
(int) 64 => 'Paul',
(int) 65 => 'Perry',
(int) 66 => 'Riordan',
(int) 67 => 'Reggie',
(int) 68 => 'Sam',
(int) 69 => 'Simon',
(int) 70 => 'Tommy',
(int) 71 => 'Valen',
(int) 72 => 'Wesley',
(int) 73 => 'Warren',
(int) 74 => 'Zeph'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 32
$value_check = 'Peter'
$tempt_array = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
)
$tempt_k = (int) 4
$tempt_v = '30'
$check_who_nnt = (int) 0
$from = '7'
$to = '9'
$findme = '/'
$arr_variable = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter',
'(n40)' => (int) 30,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 150,
'(h3)' => '0',
'(r3)' => '45',
'(z)' => '45/150',
'(sz)' => '3/10',
'(t1)' => (int) 3,
'(t3)' => (int) 10,
'(t8)' => (int) 7,
'(w)' => (float) 18,
'(m10)' => (int) 12
)
$variable_k = '(m10)'
$variable_v = '12'
$formula_k = (int) 20
$formula_v = 'do_fraction(+:$(h3),$(sz))=$(hw)'
$criterion_k = (int) 29
$criterion_v = ''
$type_criterion_k = (int) 29
$type_criterion_v = ''
$variable_show = array(
'n50' => '45',
'n10' => '15',
't40' => '6',
'h11' => (int) 7,
'm30' => '30',
'Jerry' => 'Tim',
'Kenny' => 'Peter'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,3/10'
$type_cri = 'more_than'
$get_between_value = '12>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,3/10)',
(int) 1 => '(hw)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$match = array(
(int) 0 => 'print_fraction(45,150)',
(int) 1 => '45,150',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,3/10'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '3/10'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '3',
(int) 1 => '10'
)
$tuTwo = '3'
$mauTwo = '10'
$k1 = (int) 29
$v1 = '' CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4567
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119
SPEED
Question
Oliver and Julian started on a 55-km cycling trip at the same time. They cycled at the same speed for first 5 km. For the remaining 50 km, Oliver cycled faster than Julian. He arrived at the finishing point 12 minutes before Julian who was 5 km behind him. Julian did not change his speed throughout and completed it at 08 25.
At what time did the trip begin? Give the answer in 12-hour format.
What was Oliver's average speed for the remaining 50 km of the trip in km/h?
×
Oliver and Julian started on a 55-km cycling trip at the same time. They cycled at the same speed for first 5 km. For the remaining 50 km, Oliver cycled faster than Julian. He arrived at the finishing point 12 minutes before Julian who was 5 km behind him. Julian did not change his speed throughout and completed it at 08 25.
At what time did the trip begin? Give the answer in 12-hour format.
What was Oliver's average speed for the remaining 50 km of the trip in km/h?
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Oliver and Julian started on a 55-km cycling trip at the same time. They cycled at the same speed for first 5 km. For the remaining 50 km, Oliver cycled faster than Julian. He arrived at the finishing point 12 minutes before Julian who was 5 km behind him. Julian did not change his speed throughout and completed it at 08 25.
At what time did the trip begin? Give the answer in 12-hour format.
What was Oliver's average speed for the remaining 50 km of the trip in km/h?
(4 m)
Oliver and Julian started on a 55-km cycling trip at the same time. They cycled at the same speed for first 5 km. For the remaining 50 km, Oliver cycled faster than Julian. He arrived at the finishing point 12 minutes before Julian who was 5 km behind him. Julian did not change his speed throughout and completed it at 08 25.
At what time did the trip begin? Give the answer in 12-hour format.
What was Oliver's average speed for the remaining 50 km of the trip in km/h?
(4 m)
Primary 6 SPEED P6.SP.JC.19090801
04 May 2024, 08:36 PM
Oliver and Julian started on a 55-km cycling trip at the same time. They cycled at the same speed for first 5 km. For the remaining 50 km, Oliver cycled faster than Julian. He arrived at the finishing point 12 minutes before Julian who was 5 km behind him. Julian did not change his speed throughout and completed it at 08 25.
At what time did the trip begin? Give the answer in 12-hour format.
What was Oliver's average speed for the remaining 50 km of the trip in km/h?
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