61 P6.SP.TL.18012260
Level 3
Ben drove at an average speed of 84 km/h for 45 minutes. He then reduced his average speed by 6 km/h and drove a further 30 minutes before he reached his house. Find the total distance covered by Ben.
3 m
Journey by parts Different speed Distance apart Unit conversion Duration More than or less than
62 P6.SP.TL.18012262
Level 3
At 6 a.m., Prince and John left Park A and drove towards Park B at average speeds of 105 km/h and 60 km/h respectively. Upon reaching Park B, Prince rested for 2 hours. He then headed back for Park A at an average speed of 105 km/h along the same route. Prince and John met each other on their way at 12 noon.
  1. How far had Prince covered when he met John on the way?
  2. How far apart were the two parks?
3 m
Different speed Same starting point Same starting time Meeting point Distance apart Duration
63 P6.SP.TL.18012219
Level 3
At 9.30 a.m., a bus started travelling at an average speed of 60 km/h. At 11:30 a.m., a van started from the same place travelling on the same road. If the van took 3 hours to catch up with the bus, find the speed of the van.
3 m
DST triangle Same starting point Different starting time Overtaking Duration
64 P6.SP.TL.18012246
Level 3
Steven and Ivan started running a 10-km cross-country race together at a speed of 6 km/h and 12 km/h respectively. At the halfway mark, Ivan took a rest until Steven caught up with him. How long did Ivan rest? Express the answer in min.
3 m
DST triangle Average speed Different speed Overtaking Duration
65 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
66 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
67 P6.SP.TL.18012257
Level 3
King took 6 hours to drive from Point A to Point B while Jack took 4 hours to drive from Point B to Point A. When they met each other, they were 48 km away from the midpoint of Point A and Point B. What was King's speed?
3 m
Average speed Different starting point Meeting point Inverse ratio Duration Units method
68 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
69 P6.SP.TL.18012239
Level 3 PSLE
Esther and Margi took part in a cycling race. Esther cycled at a speed of 20 km/h. Both of them did not change their speed throughout the race. When Margi covered 12 the distance, Esther was 3.5 km in front of her. Esther reached the finishing line at 10.45 a.m. What time did Margi reach the finishing line?
3 m
DST triangle Different speed Same starting point Same starting time Common time Unit conversion Duration Timeline
70 P6.SP.TL.18012266
Level 3
At 7 a.m., a black car and a green car left the office and travelled at average speeds in opposite directions round a 25-km route. The black car took 15 minutes to complete each round while the green car took 20 minutes.
  1. Find the speed of the black car.
  2. Find the speed of the green car.
  3. If the 2 cars travelled without any interval of rest, at what time would the 2 cars next meet again at the office?
3 m
DST triangle Average speed Same starting point Same starting time Opposite direction Circular track Unit conversion Duration LCM
71 P6.SP.TL.18012267
Level 3
Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.
  1. Find the distance covered per second by Vivian in m.
  2. Find the distance covered per second by Kyle in m.
  3. When the two cyclists next met again at the starting point, how far would Vivian have covered? Express the answer in km.
3 m
DST triangle Same starting time Opposite direction Meeting point Circular track Unit conversion Duration LCM
72 P6.SP.TL.18012268
Level 3
Bus X and Bus Y left the same bus station at uniform speeds in the same direction round a 48-km circular route. Bus X took 45 minutes to complete each round while Bus Y took 30 minutes.
  1. How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
  2. How far would Bus X be behind Bus Y after 12 hour?
3 m
DST triangle Average speed Same starting point Circular track Unit conversion Duration LCM
73 P6.SP.TL.18012269
Level 3
Helen and Jomarie started off from the same place and drove at uniform speeds in the same direction round a 40-km circular racing track. Helen completed each round in 40 minutes. Jomarie took 50 minutes to complete each round.
  1. How far would Jomarie be behind Helen after 1 hour?
  2. How long after they started would it take Helen to meet Jomarie for the first time?
3 m
DST triangle Average speed Same starting point Meeting point Distance apart Circular track Unit conversion Duration LCM
74 P6.DA.NK.21060923
Level 3 PSLE
Mr Lee used two printers with different printing rates for a printing job. He started Machine A at 10 00 and started Machine B two minutes later. He stopped both machines at 10 05. The graphs show the total number of pages printed by each machine from the start of printing.
  1. How many pages had been printed by Machine A at the time Mr Lee started Machine B?
  2. What was the difference in the number of pages printed by the two machines from 10 00 to 10 05?
  3. Which machine, A or B, has a faster printing rate? What is the difference in the number of pages printed by the machines in one minute? Give your answer in this format. (Eg A, 1)
4 m
Line graph Rate more than 1 object Duration 24-h clock More than or less than
75 P6.SP.TL.18012286
Level 3
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?
4 m
Rate of 1 object DST triangle Journey by parts Unit conversion Duration Volume Units method
76 P6.SP.JC.18011303
Level 3
Nick placed three empty containers side by side. The smallest container has a crack at the bottom of its side and the base area of each container is 18 cm2. After he turned on the faucet for 68 minutes, the height of the water in the smallest container became 8 cm although 0.8 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the faucet. Give the answer in mℓ/min.
4 m
Rate more than 1 object Unit conversion Duration Volume
77 P6.SP.JC.21061106
Level 3 PSLE
The photocopying rates of two machines A and B are as shown. Both machines were use to make a copy of a set of notes which had been divided into teacher set and student set. Machine A took 7 minutes is to photocopy teacher set and Machine B took 9 minutes to photocopy student set.
  1. How many pages were there altogether in the set of notes?
  2. Another copy of the same set of notes was made using Machine B only. How many minutes did Machine B take?
4 m
Rate more than 1 object Duration Unit conversion Number x value Units table
78 P6.SP.JC.18011323
Level 3
When both printers U and V are used, a collection of books can be printed in 3 hours. While printing, Printer U broke down. As a result, it took 113 hours to complete printing. If it would take Printer V 4 hours to print the collection alone,
  1. how long would it take to print the collection of books using only Printer U? Express your answer in hours.
  2. how long was Printer U used before it broke down? Express your answer in hours.
4 m
Rate more than 1 object Unit conversion Duration Volume
79 P6.SP.TL.18012227
Level 3
If Albert and Marvin work together, they can complete a job in 14 days. If Albert and Marvin worked together for 7 days, followed by Marvin who worked alone for the next 21 days, they can finish off the job.
  1. How long can Marvin finish the work alone? Express the answer in days.
  2. How long can Albert finish the work alone? Express the answer in days.
4 m
Rate more than 1 object Duration
80 P6.SP.TL.18012231
Level 3
If Joey and Vic work together on a project, they will complete it in 4 days. If Vic were to work with Richard on the same project, they will take a day longer. If Richard and Teddy work together, they will take 100% more time than Joey and Vic. If Joey and Teddy were to work together, how many more days will they take to complete the project compared to Vic and Richard working together?
4 m
Rate more than 1 object Duration Percent of a whole More than or less than Units & parts & boxes Elimination

5 per page

10 per page

20 per page

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