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
In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.
Level 3
In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.
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?
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
Joe took 12 min to cycle from his home to a park for his morning exercise. After the exercise, he took 60 min to walk the same route home. The difference between his cycling and walking speed was 40 km/h. How far was Joe's home from the park?
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?
