61 P6.SP.TL.18012249
Level 3
Sam and Ian have a bicycle race. Sam cycles at a speed of 12 km/h. Ian cycles at a speed of 16 km/h. If Ian lets Sam start 40 min before him, how long will Ian take to catch up with Sam?
3 m
DST triangle Different speed Same starting point Different starting time Overtaking Unit conversion Duration
62 P6.SP.TL.19051601
Level 3
Kenny and Mike started jogging from the same point. Mike started jogging 4 minutes earlier than Kenny. Kenny's jogging speed was 500 m/min and Mike's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
  1. How long did it take for Kenny to catch up with Mike?
  2. What distance would Mike have jogged when Kenny caught up with him? Express your answer in meters.
3 m
DST triangle Average speed Different speed Same starting point Different starting time Overtaking Duration
63 P6.SP.TL.18012248
Level 3
The distance between Parryville Town and Queensland Town was 900 km apart. A car travelled at an average speed of 98 km/h from Parryville Town to Queensland Town. At the same time, a bus travelled at an average speed of 82 km/h from Queensland Town to Parryville Town. How much further did the car travel than the bus when the car met the bus on the way?
3 m
DST triangle Different speed Same starting time Meeting point Common time Duration
64 P6.SP.TL.18012245
Level 3
Town A and Town B were 420 km apart. At 11.55 a.m., Parry set off from Town A travelling at 80 km/h towards Town B, while Jan set off from Town B travelling towards Town A. They met on their way at 2.55 p.m. Find Jan's average speed.
3 m
DST triangle Average speed Same starting time Meeting point Common time
65 P6.SP.TL.18012251
Level 3
At 12 p.m., a car left City X for City Y at an average speed of 100 km/h while a bus left City Y for City X at an average speed of 80 km/h. At 4.30 p.m., the two vehicles were 20 km apart. Find the distance between City X and City Y.
3 m
DST triangle Different starting point Same starting time Meeting point Distance apart Common time
66 P6.RD.JC.16010119
Level 3
Peter is 56 of Ethan's age. In 10 years' time, their total age will be 75. What is the ratio of Ethan's age to Peter's age 12 years from now?
4 m
Fraction to units Finding ratio Units table
67 P6.SP.TL.18012253
Level 3 PSLE
A store and a school are 120 m apart. They are located between Barry's house and Jony's house, as shown. The store is exactly halfway in between the two houses. One day, Barry and Jony started cycling from their houses at the same time and they arrived at school together. Jony cycled at 70 m/min while Barry cycled at a speed 15 m/min faster than Jony.
  1. How much further did Barry cycle than Jony?
  2. How far is Jony's house from school? Express the answer in m.
3 m
DST triangle Different speed Same starting time Meeting point Distance apart Common time More than or less than
68 P6.RD.TL.16010137
Level 3
Fred's father is 7 times as old as his son. His father will be 35 years old in 7 years' time. In how many years' time will Fred be 60% that of his father?
4 m
Percent to units Times as many Unchanged difference Units table
69 P6.SP.TL.18012252
Level 3
At 10.25 a.m., a car left Town X for Town Y at an average speed of 86 km/h, while a truck left Town Y for Town X at an average speed of 74 km/h. At 3.25 p.m., the two vehicles were 22 km apart. How far apart were the two towns?
3 m
DST triangle Different speed Different starting point Same starting time Distance apart Common time
70 P6.RD.TL.16010139
Level 3
Yvonne will be 36 years old in 3 years' time. Now, Tina's age is 23 of Yvonne's age. What was Tina's age when she was 4 years less than 80% of Yvonne's age?
4 m
Fraction to units Percent to units Unchanged difference More than or less than Units table Units & parts

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