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
A car-wash machine takes 16 h to wash 1 car. Washing the car by hand takes 14 h longer than the car-wash machine.
  1. Find the time taken to wash 1 car by hand.
  2. Find the total time taken to wash 3 cars by hand. Leave your answer in hours and minutes.
4 m
Level 3
Chris runs 100 metres for 5 times. The average time taken for his first three runs is 14.5 seconds. He aims to have an average timing of 12.8 seconds for his five runs.
  1. What is the average time he needs to take for his 4th and 5th run in order to achieve his aim?
  2. If he runs 3 seconds faster in one of the five runs, what would be his average time for the five runs?
5 m
Level 3 PSLE
The figure shows taps A and B and an empty tank. At 2 p.m., tap A was turned on. Water flowed into the tank from tap A at a rate of 3.8 litres per minute. After 5 minutes, tap B was turned on. At 2.15 p.m., the tank was half filled with water.
  1. How many litres of water flowed out of tap B in 1 minute?
  2. At 2.30 p.m., what fraction of the tank was filled with water?
5 m