Notice (8)APP/Controller/Component/CommonComponent.php , line 4554 ]Code Context } } if( $tuMain > $mauMain && $tuMain % $mauMain != 0 ) $clone = array(
'id' => '15402',
'chart' => '',
'question_id' => '44163',
'clone_type' => '1',
'phpfile' => null,
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'clone_content' => '$(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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(int) 10 => '1567958147508',
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(int) 12 => '1567958459449',
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(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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),
'image_gridline' => '',
'code_gridline' => '',
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'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) 68
$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 => 'Bryan',
(int) 1 => 'Bobby'
)
$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) 15,
'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 '
$formula = array(
(int) 0 => '40-12=28',
(int) 1 => 'if(more_than(28>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '12/1*10=120',
(int) 7 => 'if(whole_number(120))continue',
(int) 8 => 'get_quotient(40,120)=0',
(int) 9 => 'get_remainder(40,120)=40',
(int) 10 => 'print_fraction(40,120)=40/120',
(int) 11 => 'simplify_fraction(40/120)=1/3',
(int) 12 => 'get_numerator(1/3)=1',
(int) 13 => 'get_denominator(1/3)=3',
(int) 14 => '9-0=9',
(int) 15 => '1/3*60=20',
(int) 16 => 'if(more_than(20>9))continue',
(int) 17 => 'if(whole_number(20))continue',
(int) 18 => '30-20=10',
(int) 19 => 'if(more_than(10>9))continue',
(int) 20 => 'do_fraction(+:0,1/3)=$(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($(h2)>1))continue',
(int) 25 => 'do_fraction(/:28,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>120))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) 42
$value_check = 'Bobby'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby',
'(n40)' => (int) 28,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 120,
'(h3)' => '0',
'(r3)' => '40',
'(z)' => '40/120',
'(sz)' => '1/3',
'(t1)' => (int) 1,
'(t3)' => (int) 3,
'(t8)' => (int) 9,
'(w)' => (float) 20,
'(m10)' => (int) 10
)
$variable_k = '(m10)'
$variable_v = '10'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,1/3'
$type_cri = 'more_than'
$get_between_value = '10>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,1/3)',
(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(40,120)',
(int) 1 => '40,120',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,1/3'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '1/3'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '1',
(int) 1 => '3'
)
$tuTwo = '1'
$mauTwo = '3'
$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'
useTable => 'array1s'
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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cacheSources => true
findQueryType => null
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order => null
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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) 68
$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 => 'Bryan',
(int) 1 => 'Bobby'
)
$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) 15,
'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) 42,
'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 '
$formula = array(
(int) 0 => '40-12=28',
(int) 1 => 'if(more_than(28>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '12/1*10=120',
(int) 7 => 'if(whole_number(120))continue',
(int) 8 => 'get_quotient(40,120)=0',
(int) 9 => 'get_remainder(40,120)=40',
(int) 10 => 'print_fraction(40,120)=40/120',
(int) 11 => 'simplify_fraction(40/120)=1/3',
(int) 12 => 'get_numerator(1/3)=1',
(int) 13 => 'get_denominator(1/3)=3',
(int) 14 => '9-0=9',
(int) 15 => '1/3*60=20',
(int) 16 => 'if(more_than(20>9))continue',
(int) 17 => 'if(whole_number(20))continue',
(int) 18 => '30-20=10',
(int) 19 => 'if(more_than(10>9))continue',
(int) 20 => 'do_fraction(+:0,1/3)=$(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($(h2)>1))continue',
(int) 25 => 'do_fraction(/:28,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>120))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) 42
$value_check = 'Bobby'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby',
'(n40)' => (int) 28,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 120,
'(h3)' => '0',
'(r3)' => '40',
'(z)' => '40/120',
'(sz)' => '1/3',
'(t1)' => (int) 1,
'(t3)' => (int) 3,
'(t8)' => (int) 9,
'(w)' => (float) 20,
'(m10)' => (int) 10
)
$variable_k = '(m10)'
$variable_v = '10'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,1/3'
$type_cri = 'more_than'
$get_between_value = '10>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,1/3)',
(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(40,120)',
(int) 1 => '40,120',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,1/3'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '1/3'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '1',
(int) 1 => '3'
)
$tuTwo = '1'
$mauTwo = '3'
$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) 68
$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 => 'Bryan',
(int) 1 => 'Bobby'
)
$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) 15,
'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) 42,
'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 '
$formula = array(
(int) 0 => '40-12=28',
(int) 1 => 'if(more_than(28>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '12/1*10=120',
(int) 7 => 'if(whole_number(120))continue',
(int) 8 => 'get_quotient(40,120)=0',
(int) 9 => 'get_remainder(40,120)=40',
(int) 10 => 'print_fraction(40,120)=40/120',
(int) 11 => 'simplify_fraction(40/120)=1/3',
(int) 12 => 'get_numerator(1/3)=1',
(int) 13 => 'get_denominator(1/3)=3',
(int) 14 => '9-0=9',
(int) 15 => '1/3*60=20',
(int) 16 => 'if(more_than(20>9))continue',
(int) 17 => 'if(whole_number(20))continue',
(int) 18 => '30-20=10',
(int) 19 => 'if(more_than(10>9))continue',
(int) 20 => 'do_fraction(+:0,1/3)=$(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($(h2)>1))continue',
(int) 25 => 'do_fraction(/:28,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>120))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) 42
$value_check = 'Bobby'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby',
'(n40)' => (int) 28,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 120,
'(h3)' => '0',
'(r3)' => '40',
'(z)' => '40/120',
'(sz)' => '1/3',
'(t1)' => (int) 1,
'(t3)' => (int) 3,
'(t8)' => (int) 9,
'(w)' => (float) 20,
'(m10)' => (int) 10
)
$variable_k = '(m10)'
$variable_v = '10'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,1/3'
$type_cri = 'more_than'
$get_between_value = '10>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,1/3)',
(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(40,120)',
(int) 1 => '40,120',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,1/3'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '1/3'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '1',
(int) 1 => '3'
)
$tuTwo = '1'
$mauTwo = '3'
$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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(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',
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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) $(n20) km/h '
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$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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$tempt = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
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$list_name_array = array(
(int) 0 => 'Bryan',
(int) 1 => 'Bobby'
)
$list_array_item = array(
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'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) 15,
'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 '
$formula = array(
(int) 0 => '40-12=28',
(int) 1 => 'if(more_than(28>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '12/1*10=120',
(int) 7 => 'if(whole_number(120))continue',
(int) 8 => 'get_quotient(40,120)=0',
(int) 9 => 'get_remainder(40,120)=40',
(int) 10 => 'print_fraction(40,120)=40/120',
(int) 11 => 'simplify_fraction(40/120)=1/3',
(int) 12 => 'get_numerator(1/3)=1',
(int) 13 => 'get_denominator(1/3)=3',
(int) 14 => '9-0=9',
(int) 15 => '1/3*60=20',
(int) 16 => 'if(more_than(20>9))continue',
(int) 17 => 'if(whole_number(20))continue',
(int) 18 => '30-20=10',
(int) 19 => 'if(more_than(10>9))continue',
(int) 20 => 'do_fraction(+:0,1/3)=$(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($(h2)>1))continue',
(int) 25 => 'do_fraction(/:28,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>120))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) 42
$value_check = 'Bobby'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby',
'(n40)' => (int) 28,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 120,
'(h3)' => '0',
'(r3)' => '40',
'(z)' => '40/120',
'(sz)' => '1/3',
'(t1)' => (int) 1,
'(t3)' => (int) 3,
'(t8)' => (int) 9,
'(w)' => (float) 20,
'(m10)' => (int) 10
)
$variable_k = '(m10)'
$variable_v = '10'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,1/3'
$type_cri = 'more_than'
$get_between_value = '10>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,1/3)',
(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(40,120)',
(int) 1 => '40,120',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,1/3'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '1/3'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '1',
(int) 1 => '3'
)
$tuTwo = '1'
$mauTwo = '3'
$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'
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id => '61'
data => array()
schemaName => 'ischoolb_orgi'
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findMethods => array(
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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
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order => null
virtualFields => 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]
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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) 68
$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 => 'Bryan',
(int) 1 => 'Bobby'
)
$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) 15,
'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) 42,
'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 '
$formula = array(
(int) 0 => '40-12=28',
(int) 1 => 'if(more_than(28>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '12/1*10=120',
(int) 7 => 'if(whole_number(120))continue',
(int) 8 => 'get_quotient(40,120)=0',
(int) 9 => 'get_remainder(40,120)=40',
(int) 10 => 'print_fraction(40,120)=40/120',
(int) 11 => 'simplify_fraction(40/120)=1/3',
(int) 12 => 'get_numerator(1/3)=1',
(int) 13 => 'get_denominator(1/3)=3',
(int) 14 => '9-0=9',
(int) 15 => '1/3*60=20',
(int) 16 => 'if(more_than(20>9))continue',
(int) 17 => 'if(whole_number(20))continue',
(int) 18 => '30-20=10',
(int) 19 => 'if(more_than(10>9))continue',
(int) 20 => 'do_fraction(+:0,1/3)=$(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($(h2)>1))continue',
(int) 25 => 'do_fraction(/:28,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>120))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) 42
$value_check = 'Bobby'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby',
'(n40)' => (int) 28,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 120,
'(h3)' => '0',
'(r3)' => '40',
'(z)' => '40/120',
'(sz)' => '1/3',
'(t1)' => (int) 1,
'(t3)' => (int) 3,
'(t8)' => (int) 9,
'(w)' => (float) 20,
'(m10)' => (int) 10
)
$variable_k = '(m10)'
$variable_v = '10'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,1/3'
$type_cri = 'more_than'
$get_between_value = '10>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,1/3)',
(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(40,120)',
(int) 1 => '40,120',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,1/3'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '1/3'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '1',
(int) 1 => '3'
)
$tuTwo = '1'
$mauTwo = '3'
$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) 68
$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 => 'Bryan',
(int) 1 => 'Bobby'
)
$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) 15,
'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) 42,
'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 '
$formula = array(
(int) 0 => '40-12=28',
(int) 1 => 'if(more_than(28>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '12/1*10=120',
(int) 7 => 'if(whole_number(120))continue',
(int) 8 => 'get_quotient(40,120)=0',
(int) 9 => 'get_remainder(40,120)=40',
(int) 10 => 'print_fraction(40,120)=40/120',
(int) 11 => 'simplify_fraction(40/120)=1/3',
(int) 12 => 'get_numerator(1/3)=1',
(int) 13 => 'get_denominator(1/3)=3',
(int) 14 => '9-0=9',
(int) 15 => '1/3*60=20',
(int) 16 => 'if(more_than(20>9))continue',
(int) 17 => 'if(whole_number(20))continue',
(int) 18 => '30-20=10',
(int) 19 => 'if(more_than(10>9))continue',
(int) 20 => 'do_fraction(+:0,1/3)=$(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($(h2)>1))continue',
(int) 25 => 'do_fraction(/:28,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>120))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) 42
$value_check = 'Bobby'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby',
'(n40)' => (int) 28,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 120,
'(h3)' => '0',
'(r3)' => '40',
'(z)' => '40/120',
'(sz)' => '1/3',
'(t1)' => (int) 1,
'(t3)' => (int) 3,
'(t8)' => (int) 9,
'(w)' => (float) 20,
'(m10)' => (int) 10
)
$variable_k = '(m10)'
$variable_v = '10'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,1/3'
$type_cri = 'more_than'
$get_between_value = '10>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,1/3)',
(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(40,120)',
(int) 1 => '40,120',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,1/3'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '1/3'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '1',
(int) 1 => '3'
)
$tuTwo = '1'
$mauTwo = '3'
$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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(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',
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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) $(n20) km/h '
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$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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$tempt = array(
(int) 0 => '10',
(int) 1 => '15',
(int) 2 => '20',
(int) 3 => '25',
(int) 4 => '30'
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$list_name_array = array(
(int) 0 => 'Bryan',
(int) 1 => 'Bobby'
)
$list_array_item = array(
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'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) 15,
'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 '
$formula = array(
(int) 0 => '40-12=28',
(int) 1 => 'if(more_than(28>20))continue',
(int) 2 => 'print_fraction(6,60)=6/60',
(int) 3 => 'simplify_fraction(6/60)=1/10',
(int) 4 => 'get_numerator(1/10)=1',
(int) 5 => 'get_denominator(1/10)=10',
(int) 6 => '12/1*10=120',
(int) 7 => 'if(whole_number(120))continue',
(int) 8 => 'get_quotient(40,120)=0',
(int) 9 => 'get_remainder(40,120)=40',
(int) 10 => 'print_fraction(40,120)=40/120',
(int) 11 => 'simplify_fraction(40/120)=1/3',
(int) 12 => 'get_numerator(1/3)=1',
(int) 13 => 'get_denominator(1/3)=3',
(int) 14 => '9-0=9',
(int) 15 => '1/3*60=20',
(int) 16 => 'if(more_than(20>9))continue',
(int) 17 => 'if(whole_number(20))continue',
(int) 18 => '30-20=10',
(int) 19 => 'if(more_than(10>9))continue',
(int) 20 => 'do_fraction(+:0,1/3)=$(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($(h2)>1))continue',
(int) 25 => 'do_fraction(/:28,$(h2))=$(n20s)',
(int) 26 => 'simplify_fraction($(n20s))=$(n20)',
(int) 27 => 'if(more_than($(n20)>35))back',
(int) 28 => 'if(more_than($(n20)>120))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) 42
$value_check = 'Bobby'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby',
'(n40)' => (int) 28,
'(t60)' => '6/60',
'(st60)' => '1/10',
'(tt2)' => (int) 1,
'(tt3)' => (int) 10,
'(n15)' => (int) 120,
'(h3)' => '0',
'(r3)' => '40',
'(z)' => '40/120',
'(sz)' => '1/3',
'(t1)' => (int) 1,
'(t3)' => (int) 3,
'(t8)' => (int) 9,
'(w)' => (float) 20,
'(m10)' => (int) 10
)
$variable_k = '(m10)'
$variable_v = '10'
$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' => '40',
'n10' => '12',
't40' => '6',
'h11' => (int) 9,
'm30' => '30',
'Jerry' => 'Bryan',
'Kenny' => 'Bobby'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array()
$check_changes = ''
$criterion_continue = '))=$(hw)'
$criterion_back = '(hw)'
$type_criterion_action = (int) 1
$get_between = '+:0,1/3'
$type_cri = 'more_than'
$get_between_value = '10>9'
$bieuthuc = array(
(int) 0 => 'do_fraction(+:0,1/3)',
(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(40,120)',
(int) 1 => '40,120',
(int) 2 => ')'
)
$count_check = array(
(int) 0 => '+',
(int) 1 => '0,1/3'
)
$arr_caculoid = array(
(int) 0 => '+',
(int) 1 => '-',
(int) 2 => '*',
(int) 3 => '/'
)
$two_fraction = array(
(int) 0 => '0',
(int) 1 => '1/3'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
(int) 0 => '1',
(int) 1 => '3'
)
$tuTwo = '1'
$mauTwo = '3'
$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
Simon and Daniel started on a 50-km cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Simon cycled faster than Daniel. He arrived at the finishing point 40 minutes before Daniel who was 10 km behind him. Daniel did not change his speed throughout and completed it at 09 30.
At what time did the trip begin? Give the answer in 12-hour format.
What was Simon's average speed for the remaining 40 km of the trip in km/h?
×
Simon and Daniel started on a 50-km cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Simon cycled faster than Daniel. He arrived at the finishing point 40 minutes before Daniel who was 10 km behind him. Daniel did not change his speed throughout and completed it at 09 30.
At what time did the trip begin? Give the answer in 12-hour format.
What was Simon's average speed for the remaining 40 km of the trip in km/h?
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Simon and Daniel started on a 50-km cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Simon cycled faster than Daniel. He arrived at the finishing point 40 minutes before Daniel who was 10 km behind him. Daniel did not change his speed throughout and completed it at 09 30.
At what time did the trip begin? Give the answer in 12-hour format.
What was Simon's average speed for the remaining 40 km of the trip in km/h?
(4 m)
Simon and Daniel started on a 50-km cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Simon cycled faster than Daniel. He arrived at the finishing point 40 minutes before Daniel who was 10 km behind him. Daniel did not change his speed throughout and completed it at 09 30.
At what time did the trip begin? Give the answer in 12-hour format.
What was Simon's average speed for the remaining 40 km of the trip in km/h?
(4 m)
Primary 6 SPEED P6.SP.JC.19090801
05 May 2024, 08:52 AM
Simon and Daniel started on a 50-km cycling trip at the same time. They cycled at the same speed for first 10 km. For the remaining 40 km, Simon cycled faster than Daniel. He arrived at the finishing point 40 minutes before Daniel who was 10 km behind him. Daniel did not change his speed throughout and completed it at 09 30.
At what time did the trip begin? Give the answer in 12-hour format.
What was Simon's average speed for the remaining 40 km of the trip in km/h?
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