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?
3 m
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.
  1. How long did it take for Kenny to catch up with Mike?
  2. What distance would Mike have jogged when Kenny caught up with him? Express your answer in meters.
3 m
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?
3 m
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.
3 m
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.
3 m
Level 3
Peter is 56 of Ethan's age. In 10 years' time, their total age will be 75. What is the ratio of Ethan's age to Peter's age 12 years from now?
4 m
Level 3 PSLE
A store and a school are 120 m apart. They are located between Barry's house and Jony's house, as shown. The store is exactly halfway in between the two houses. One day, Barry and Jony started cycling from their houses at the same time and they arrived at school together. Jony cycled at 70 m/min while Barry cycled at a speed 15 m/min faster than Jony.
  1. How much further did Barry cycle than Jony?
  2. How far is Jony's house from school? Express the answer in m.
3 m
Level 3
Fred's father is 7 times as old as his son. His father will be 35 years old in 7 years' time. In how many years' time will Fred be 60% that of his father?
4 m
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?
3 m
Level 3
Yvonne will be 36 years old in 3 years' time. Now, Tina's age is 23 of Yvonne's age. What was Tina's age when she was 4 years less than 80% of Yvonne's age?
4 m
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?
3 m
Level 3
City A and City B is 760 km apart. At 09 00, Sunny, travelling at a constant speed, left City A for City B. At the same time, Ron set off from City B for City A at a constant speed which was 9 km/h faster than Sunny. Find Ron's speed if they met at 17 00.
3 m
Level 3
Rael's age is 25 of his granduncle's. His granduncle will be 63 years old in 8 years' time. In how many years' time will Rael's age be 23 that of his granduncle's?
3 m
Level 3
Ron jogged while Bella walked from the same place but in opposite directions along a straight road. After 5 hours, they were 30 km apart. Ron's average speed was 1.2 km/h faster than Bella's average speed. What was Bella's average walking speed in km/h? Express the answer in decimal.
3 m
Level 3
Allan and Maine were in a roller skating race. Allan was travelling at a constant speed of 20 km/h and they both did not change their speed. When Maine completed half of her race, Allan was 3.5 km ahead. Allan completed the race at 10.45 a.m. What time did Maine complete the race?
3 m
Level 3 PSLE
Peter and John started jogging at the same time along the route shown. Both did not change their speed throughout. After 45 min, Peter was at the halfway point and John was 450 m behind. Peter reached the end point 4 min before John. What was the distance of the route? Express the answer in m.
3 m
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