Level 3
Fay cycled from View Hill at 09 56 toward Sand Garden while Joy cycled from Sand Garden toward View Hill at the same time. At 10 06, the two cyclists passed each other. 7 minutes later, Fay reached Sand Garden but Joy was 1155 m from View Hill.
  1. At what speed were the two cyclists approaching each other?
  2. Find the distance between Sand Garden and View Hill Park in km.
3 m
Level 3
A black bus left Town A for Town B at the same time when a white bus left Town B to Town A. The average speed of the black bus and the white bus were 56 km/h and 72 km/h respectively. The two buses passed each other at a point 24 km from the midway of the two towns. How far apart are these two towns?
3 m
Level 3 PSLE
Esther and Margi took part in a cycling race. Esther cycled at a speed of 20 km/h. Both of them did not change their speed throughout the race. When Margi covered 12 the distance, Esther was 3.5 km in front of her. Esther reached the finishing line at 10.45 a.m. What time did Margi reach the finishing line?
3 m
Level 3
A bus and a car started travelling from Town A to Town B at the same time. After 5 hours, the car reached Town B while the bus covered only 710 of the journey. The speed of the car was 21 km/h more than the speed of the bus. Find the speed of the bus.
3 m
Level 3
Jen and David started running together along a cross country track. When David completed the track in 40 minutes, Jen had run only 58 of the track. Jen’s average speed was 75 m/min slower than David’s.
  1. How long was the cross country track in m?
  2. Find Jen’s average speed in m/min.
3 m
Level 3 PSLE
Alice and Hilda started jogging from the same point of a 5 km track round a housing estate. They started at the same time but in opposite directions. Alice jogged past Hilda after 2 km. Both of them did not change their speeds throughout. Alice took 30 min to complete one round. What was Hilda's jogging speed in m/min?
3 m
Level 3
At 7 a.m., a black car and a green car left the office and travelled at average speeds in opposite directions round a 25-km route. The black car took 15 minutes to complete each round while the green car took 20 minutes.
  1. Find the speed of the black car.
  2. Find the speed of the green car.
  3. If the 2 cars travelled without any interval of rest, at what time would the 2 cars next meet again at the office?
3 m
Level 3
Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.
  1. Find the distance covered per second by Vivian in m.
  2. Find the distance covered per second by Kyle in m.
  3. When the two cyclists next met again at the starting point, how far would Vivian have covered? Express the answer in km.
3 m
Level 3
At 5.30 p.m., Bella and Brent left Hotel A for Hotel B at average speeds of 72 km/h and 50 km/h respectively. Upon reaching Hotel B, Bella rested for 20 minutes. She then headed back for Hotel A at an average speed of 72 km/h along the same route. Brent and Bella met each other on their way at 9 p.m.
  1. How much more distance had Bella covered than Brent when they met on their way?
  2. How far apart were Hotel A and Hotel B? Express the answer in mixed number.
4 m
Level 3
Edward cycled from the mall to the bank at 80 m/min. His sister cycled from the bank to the mall at 65 m/min. Both of them started cycling towards each other at the same time and did not change their speeds throughout their journey. When Edward reached the mall, his sister was 480 m from the bank. What was the distance between the mall and the bank? Express your answer in m.
4 m