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.
How far had Prince covered when he met John on the way?
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.
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.
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.
How long did it take for Kenny to catch up with Mike?
What distance would Mike have jogged when Kenny caught up with him? Express your answer in meters.
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?
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?
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.
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.
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?
Level 3 PSLE
Sherry and Cindy started cycling at the same time along a 4.5 km track. Both did not change their speeds from start to finish. Sherry cycled at 375 m/min. When she reached the end of the track, Cindy was 720 m behind her. What was Cindy's cycling speed in m/min?
