Level 3
Andy and Benny were planning to run on a circular track with a circumference of 400 m. Both of them started jogging together at the same start point and moved round the track in a clockwise direction at uniform speeds. Andy completed a full round in 50 s. Benny completed a full round in 40 s.
1. How long would it take for Benny to overtake Andy for the first time?
2. How far was Benny ahead of Andy after 10 s?
4 m
Level 3
Shan and Ella started off at the same spot and ran at average speeds round a 3-km circular path. Shan took 15 minutes to complete each round. Ella completed each round in 20 minutes.
1. How far ahead of Ella would Shan be after 1 minute? Express the answer in metres.
2. How long would it take Shan to meet Ella for the first time?
3. How many rounds would Shan have completed by then?
4 m
Level 3
Recca took 5 hours to travel from Country A to Country B at 60 km/h. Then he travelled from Country B to another country at 1.5 times his original speed. 40% of the distance from Country A to Country B is equal to 13 of the distance from Country B to the next country. Find the average speed for the whole journey and express it in mixed number.
5 m
Level 3
Andy and Luke took part in a 24-km marathon. Andy ran half the distance at a speed of 10 km/h and jogged the rest of the way at a speed of 8 km/h. Luke ran half his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 7.30 a.m., at what time would each of them finish?
1. Andy
2. Luke
5 m
Level 3
At 08 00, Ali left Town P and cycled towards Town Q. Grace left Town P and cycled towards Town Q at 08 30. Grace's cycling speed was 2 km/h faster than Ali. At 12 00, Grace caught up with Ali. Find the cycling speed of each cyclist.
1. Ali
2. Grace
5 m
Level 3
James started driving from Town A towards Town B at 13 40 at an average speed of 70 km/h. Melvin began driving from Town A towards Town B at 15 10 at an average speed of 100 km/h.
1. At what time did Melvin pass James on the road?
2. 125 hours after passing James, Melvin reached Town B. At what time did James reach Town B?
5 m
Level 3
Ray left City B for City A at 07 30. Lindy left City B for City C at the same time. At 10 30, they were 480 km apart. Both maintained a constant speed and reached their destination at the same time at 12 00 h.
1. Find the distance between Cities A and C.
2. If Lindy's speed was 35 the speed of Fred, find Ray's speed.
5 m
Level 3
City X and City Y are 420 km apart. At 3.45 p.m., Joni is travelling at a uniform speed left City X for City Y while Ben set off from City Y to City X along the same road at a uniform speed, which was 12 km/h slower than that of Joni. The two met at 6.45 p.m.
1. Find the speed of Joni.
2. If Ben continued to travel at the same speed, how long would it take to reach its destination after the two met? Express the answer in mixed number.
5 m
Level 3
Raju and Shian left Town A for Town B at the same time. When Raju reached Town B in 4 hours, Shian had only completed 38 of the distance between the two towns. Shian's speed was 30 km/h slower than Raju. What was Raju's speed?
5 m