Level 3
Ben drove a car at an average speed of 84 km/h for 45 minutes. He then reduced his average speed by 6 km/h and drove another 30 min before he reached his destination. Find the total distance covered by Ben.
3 m
Level 3
A coach driver drove the first 4 h of a journey at an average speed 64 km/h. Driving at an average speed of 90 km/h, he then took another 5 h to complete his remaining journey. Find his average speed for the whole journey. Give the answer in mixed number.
3 m
Level 3
Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.
3 m
Level 3
Elsa and Jason started biking at 10.45 a.m. along an 8-km trail. Elsa took 24 minutes to reach the finishing point. Jason's speed was 15 km/h slower than Elsa's. At what time did Jason reach the finishing point?
3 m
Level 3
Cain and Lea started driving at 9.30 a.m. from City A and headed towards City B which was 312 km away. Cain took 4 hours to complete his journey. Lea's average speed was 2 km/h faster than Cain's. At what time did Lea arrive at City B?
3 m
Level 3
A car is travelling from Town A to Town B. At 60 km/h, it will arrive four hours later than the scheduled time. At 70 km/h, it will arrive at two hours later than the scheduled time. What is the distance between Town A and Town B?
3 m
Level 3
Wilson started travelling at 10 a.m. at a speed of 75 km/h towards a town. Timmy started travelling towards the town from the same place 3 hours later. When Wilson reached the town at 6 p.m., Timmy had another 180 km to travel. What was Timmy's average speed?
3 m
Level 3
Loisa left the house at 11.30 a.m. and drove towards her office. 1 hour later, her brother left house and drove towards the same office at 76 km/h. When the brother reached the office at 3.30 p.m., Loisa had another 3 km to travel. What was Loisa's average speed? Express the answer in mixed number.
3 m
Level 3
At 8 a.m., Lance left Hotel A in his car and travelled towards Hotel B at 90 km/h. At the same time, Nick left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Nick reached Hotel C at 10:30 a.m., Lance was 15 km away from Hotel B.
  1. What was the distance from Hotel A to Hotel B?
  2. If the distance between Hotel B and Hotel C was 440 km, what was Nick's average speed?
3 m
Level 3
Lani was travelling from Point X to Point Y at a constant speed of 80 km/h. After 2 hours, she passed a bus coming from the opposite direction. Lani travelled another 160 km to reach Point Y. At this point, the bus was still 50 km from Point X. What is the average speed of the bus?
3 m
Level 3
Mrs Tan left home at 9 a.m. and drove towards the city. 1 13 hour later, Mrs Tan left the house and drove at an average speed of 100 km/h towards the city. When Mrs Tan reached his destination at 1 p.m., Mrs Tan was 20 km away from the city. Find Mrs Tan's average speed in km/h. Express the answer in mixed number.
3 m
Level 3 PSLE
When Jen started jogging from her home, Lynn was 1.3 km ahead. Jen jogged at 8 km/h and Lynn jogged at 6 km/h. They went in the same direction and did not change their speeds throughout.
  1. How far did Jen jog in 45 minutes?
  2. Who was ahead after 45 minutes? How far apart were they? Give your answers in this format. (Eg Ben, 1.2 km)
3 m
Level 3
Angela and Brian drove off together from Building A to Building B at average speeds of 85 km/h and 65 km/h respectively. How far apart would they be after 12 hours 15 minutes?
3 m
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
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
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
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
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
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
Level 3 PSLE
Blake and Steve ran in a race. When Steve had completed the race, Blake had only run 58 of the distance. Steve's speed was 75 m/min faster than Blake's speed. Both of them did not change their speeds throughout the race. What was Blake's speed in m/min?
3 m