121 P6.SP.TL.18012275
Level 3
Edward cycled from the mall to the bank at 80 m/min. His sister cycled from the bank to the mall at 65 m/min. Both of them started cycling towards each other at the same time and did not change their speeds throughout their journey. When Edward reached the mall, his sister was 480 m from the bank. What was the distance between the mall and the bank? Express your answer in m.
4 m
DST triangle Average speed Different speed Different starting point Same starting time Common time
122 P6.SP.TL.18012279
Level 3
A pharmacy and a bank, 500 m apart, are situated between Tina's apartment and Lynn's house as shown. The bank is half-way between the two houses. Tina and Lynn left their homes at the same time and arrived at the pharmacy at the same time. Tina drove at a speed of 65 km/h while Lynn drove at a speed 10 km/h slower than Tina.
  1. How much further did Tina travel than Lynn?
  2. How far is Lynn's house from the bank?
4 m
DST triangle Average speed Different starting point Same starting time Distance apart Common time More than or less than
123 P6.SP.TL.18012282
Level 3
Building A and Building B were 360 km apart. A car travelled from Building A towards Building B. At the same time, a bus started from Building B to Building A. After travelling 112 hours, the two vehicles were still 144 km apart. If the ratio of the average speed of the bus to that of the car was 4 : 5, find
  1. the average speed of the bus.
  2. the time taken for them to meet. travelling the rest of the journey
4 m
DST triangle Average speed Different starting point Same starting time Distance apart Direct ratio Common time Duration Units method
124 P6.SP.JC.19090801
Level 3
Kenny and Jerry 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, Kenny cycled faster than Jerry. He arrived at the finishing point 40 minutes before Jerry who was 10 km behind him. Jerry did not change his speed throughout and completed it at 11 30.
  1. At what time did the trip begin? Give the answer in 12-hour format.
  2. What was Kenny's average speed for the remaining 40 km of the trip in km/h?
4 m
DST triangle Average speed Journey by parts Different speed Same starting point Same starting time Common time
125 P6.SP.TL.18012289
Level 3
Shan and Ella started off at the same spot and ran at average speeds round a 3-km circular path. Shan took 15 minutes to complete each round. Ella completed each round in 20 minutes.
  1. How far ahead of Ella would Shan be after 1 minute? Express the answer in metres.
  2. How long would it take Shan to meet Ella for the first time?
  3. How many rounds would Shan have completed by then?
4 m
DST triangle Same starting point Meeting point Distance apart Circular track Unit conversion Duration LCM
126 P6.SP.TL.18012298
Level 3
Recca took 5 hours to travel from Country A to Country B at 60 km/h. Then he travelled from Country B to another country at 1.5 times his original speed. 40% of the distance from Country A to Country B is equal to 13 of the distance from Country B to the next country. Find the average speed for the whole journey and express it in mixed number.
5 m
DST triangle Average speed Journey by parts Different speed Duration Fraction of a whole Percent to units Times as many Common numerator
127 P6.FR.TL.16010133
Level 3
The average number of boys in 1A, 1B and 1C is 18. This is 4 more than the average number of girls in the 3 rooms. 27 of the total number of girls are in 1C. 32 of the number of girls in 1B is the same as 37 of the total number of girls in the 3 rooms. What fraction of the total number of boys in the 3 rooms is in 1A if there are 40 pupils in 1A?
5 m
Fraction to units Average Common numerator Units table
128 P6.SP.TL.18012291
Level 3
Andy and Luke took part in a 24-km marathon. Andy ran half the distance at a speed of 10 km/h and jogged the rest of the way at a speed of 8 km/h. Luke ran half his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 7.30 a.m., at what time would each of them finish?
  1. Andy
  2. Luke
5 m
DST triangle Average speed Journey by parts Different speed Same starting time Unit conversion Start end time Fraction of a whole
129 P6.SP.TL.18012293
Level 3
At 08 00, Ali left Town P and cycled towards Town Q. Grace left Town P and cycled towards Town Q at 08 30. Grace's cycling speed was 2 km/h faster than Ali. At 12 00, Grace caught up with Ali. Find the cycling speed of each cyclist.
  1. Ali
  2. Grace
5 m
DST triangle Average speed Same starting point Different starting time Overtaking More than or less than
130 P6.SP.TL.18012294
Level 3
James started driving from Town A towards Town B at 13 40 at an average speed of 70 km/h. Melvin began driving from Town A towards Town B at 15 10 at an average speed of 100 km/h.
  1. At what time did Melvin pass James on the road?
  2. 125 hours after passing James, Melvin reached Town B. At what time did James reach Town B?
5 m
DST triangle Average speed Different speed Same starting point Different starting time Meeting point Overtaking Start end time

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