Level 3
The distance between Parryville Town and Queensland Town is 900 km apart. A car travels at an average speed of 98 km/h from Parryville Town to Queensland Town. At the same time, a bus travels 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 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
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
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
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
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
A tank is to be filled to the brim. Tap A takes 20 minutes to fill the tank while Tap B takes 15 minutes to fill it. How long will it take to completely fill the tank with water if both the taps are turned on at the same time? Leave the answer in minutes and round off to 1 decimal place.
4 m
Level 3
It takes Faucet X 15 minutes to fill a tank measuring 14 cm by 8 cm by 12 cm completely while it takes Faucet Y only 10 minutes. How long will it take to completely fill the tank with water if both faucets are turned on at the same time and 3 cubic cubes of edges 3 cm, filled with water, are poured into the tank? Leave the answer in minutes and round off to 2 decimal places.
4 m
Level 3
At first, Container X, measuring 80 cm by 20 cm by 60 cm was empty and three fifth of Container Y, measuring 60 cm 30 cm by 42 cm, was filled with water. Both faucets were turned on at the same time and water from both faucets flowed at the same rate of 1.6 litres per minute. How long did it take for the height of the water to be the same in both containers?
4 m
Level 3 PSLE
Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm3 )
4 m
Level 3
The figure is not drawn to scale. At first, Tank A, measuring 60 cm by 10 cm by 40 cm was empty and one third of Tank B, measuring 50 cm by 20 cm by 36 cm, was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.2 litres per minute. How long did it take for the height of the water to be same in both tanks?
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?
4 m