Level 3
Jimmy drove at an average speed of 72 km/h for 4 hours. He then reduced his average speed by 18 km/h and continued for another 5 hours before he reached his destination. Find his average speed for the whole journey.
Level 3
Ben drove a car at an average speed of 84 km/h for 45 minutes. He then reduced his average speed by 6 km/h and drove another 30 min before he reached his destination. Find the total distance covered by Ben.
Level 3
A coach driver drove the first 4 h of a journey at an average speed 64 km/h. Driving at an average speed of 90 km/h, he then took another 5 h to complete his remaining journey. Find his average speed for the whole journey. Give the answer in mixed number.
Level 3
Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.
Level 3
Elsa and Jason started biking at 10.45 a.m. along an 8-km trail. Elsa took 24 minutes to reach the finishing point. Jason's speed was 15 km/h slower than Elsa's. At what time did Jason reach the finishing point?
Level 3
Cain and Lea started driving at 9.30 a.m. from City A and headed towards City B which was 312 km away. Cain took 4 hours to complete his journey. Lea's average speed was 2 km/h faster than Cain's. At what time did Lea arrive at City B?
Level 3 A car is travelling from Town A to Town B. At 60 km/h, it will arrive four hours later than the scheduled time. At 70 km/h, it will arrive at two hours later than the scheduled time. What is the distance between Town A and Town B?
Level 3
Wilson started travelling at 10 a.m. at a speed of 75 km/h towards a town. Timmy started travelling towards the town from the same place 3 hours later. When Wilson reached the town at 6 p.m., Timmy had another 180 km to travel. What was Timmy's average speed?
Level 3
Loisa left the house at 11.30 a.m. and drove towards her office. 1 hour later, her brother left house and drove towards the same office at 76 km/h. When the brother reached the office at 3.30 p.m., Loisa had another 3 km to travel. What was Loisa's average speed? Express the answer in mixed number.
Level 3
At 8 a.m., Lance left Hotel A in his car and travelled towards Hotel B at 90 km/h. At the same time, Nick left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Nick reached Hotel C at 10:30 a.m., Lance was 15 km away from Hotel B.
What was the distance from Hotel A to Hotel B?
If the distance between Hotel B and Hotel C was 440 km, what was Nick's average speed?
Level 3
At 8 a.m., Lance left Hotel A in his car and travelled towards Hotel B at 90 km/h. At the same time, Nick left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Nick reached Hotel C at 10:30 a.m., Lance was 15 km away from Hotel B.
What was the distance from Hotel A to Hotel B?
If the distance between Hotel B and Hotel C was 440 km, what was Nick's average speed?
Level 3
Lani was travelling from Point X to Point Y at a constant speed of 80 km/h. After 2 hours, she passed a bus coming from the opposite direction. Lani travelled another 160 km to reach Point Y. At this point, the bus was still 50 km from Point X. What is the average speed of the bus?
Level 3
Lani was travelling from Point X to Point Y at a constant speed of 80 km/h. After 2 hours, she passed a bus coming from the opposite direction. Lani travelled another 160 km to reach Point Y. At this point, the bus was still 50 km from Point X. What is the average speed of the bus?
Level 3
Mrs Tan left home at 9 a.m. and drove towards the city. 1 13 hour later, Mrs Tan left the house and drove at an average speed of 100 km/h towards the city. When Mrs Tan reached his destination at 1 p.m., Mrs Tan was 20 km away from the city. Find Mrs Tan's average speed in km/h. Express the answer in mixed number.
Level 3
Joshua placed a toy in an empty rectangular tank 150 cm long and 50 cm wide. He then filled the tank with water flowing from a tap at a rate of 5 ℓ per minute. It took 3 minutes to fill the tank to a depth of 6.5 cm to cover the toy completely. Find the volume of the toy. Express your answer in cm3.
Level 3 PSLE
When Jen started jogging from her home, Lynn was 1.3 km ahead. Jen jogged at 8 km/h and Lynn jogged at 6 km/h. They went in the same direction and did not change their speeds throughout.
How far did Jen jog in 45 minutes?
Who was ahead after 45 minutes? How far apart were they? Give your answers in this format. (Eg Ben, 1.2 km)
Level 3
The figure not drawn to scale shows a cubical tank which is 37 filled with water.
What is the volume of water needed to fill up the tank to the brim?
Water is added to the tank at a rate of 12 litres per minute. At this rate, how long will it take to fill the tank completely? Give your answer in this format. (Eg 1 h 20 min)
Level 3
The figure not drawn to scale shows a cubical tank which is 37 filled with water.
What is the volume of water needed to fill up the tank to the brim?
Water is added to the tank at a rate of 12 litres per minute. At this rate, how long will it take to fill the tank completely? Give your answer in this format. (Eg 1 h 20 min)
Level 3
Tank L is a cubical container of edge 28 cm. It is completely filled with water. Tank M is a rectangular tank measuring 54 cm by 24 cm by 25 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 5 minutes later, the tap is turned off.
Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
All the water in Tank L is then poured into Tank M without spilling. How much more water is needed to fill Tank M completely? Give your answer in litres.
Level 3
Tank L is a cubical container of edge 28 cm. It is completely filled with water. Tank M is a rectangular tank measuring 54 cm by 24 cm by 25 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 5 minutes later, the tap is turned off.
Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
All the water in Tank L is then poured into Tank M without spilling. How much more water is needed to fill Tank M completely? Give your answer in litres.
Level 3
Angela and Brian drove off together from Building A to Building B at average speeds of 85 km/h and 65 km/h respectively. How far apart would they be after 12 hours 15 minutes?
Level 3 A cubical tank of edge 30 cm contained some water to a height of 12 cm.
Find the volume of water in the tank at first.
A tap was then turned on for 20 minutes to fill the tank with water at a rate of 0.6 ℓ per minute.
How much more water was needed to fill the tank to the brim when the tap was turned off? Leave your answer in litres.
Level 3 A cubical tank of edge 30 cm contained some water to a height of 12 cm.
Find the volume of water in the tank at first.
A tap was then turned on for 20 minutes to fill the tank with water at a rate of 0.6 ℓ per minute.
How much more water was needed to fill the tank to the brim when the tap was turned off? Leave your answer in litres.
Level 3
Ben drove at an average speed of 84 km/h for 45 minutes. He then reduced his average speed by 6 km/h and drove a further 30 minutes before he reached his house. Find the total distance covered by Ben.
