Level 3
A rectangular tank measuring 60 cm by 50 cm by 25 cm was to be filled with water by two taps, A and B. Tap A which fills the tank at a rate of 8ℓ per minute was first turned on for 5 minutes before Tap B was turned on as well. If the tank was filled to the brim in a total of 7 minutes from the time when Tap A was first turned on, what is the rate at which Tap B fills the tank? Give the answer in ℓ per minute correct to 1 decimal place.
3 m
Level 3
An empty rectangular tank has a capacity of 90ℓ and a height of 50 cm. At 10 am, Tap A is turned on to fill the tank at a rate of 4ℓ per minute for 15 minutes. After 5 minutes, Tap B is turned on to drain water from the tank at a rate of 2ℓ per minute for 18 minutes. What is the height of the water level in the tank in the end? Express the answer in 1 decimal place.
3 m
Level 3
Tank A measuring 54 cm by 14 cm by 25 cm contains 4.7 ℓ of water. It is being filled with water flowing from Tap X at 0.9ℓ/min and Tap Y at 995 mℓ/min. Both taps are turned on at the same time. How long does it take to fill up Tank A till it is 75% full? Correct the answer to 1 decimal place.
3 m
Level 2
Tony drove a distance of 15 km in 10 minutes.
  1. What was his speed in km/h?
  2. How long will it take him to cover 360 km at this speed? Express the answer in hours.
3 m
Level 2
A van covers a distance of 45 km in 25 minutes.
  1. At what speed is it travelling?
  2. How long will it take to cover a distance of 36 km?
3 m
Level 3
Sam took 2 hours to walk from Building A to Building B which was 6 km away. On his way back from Building B to Building A, he increased his average walking speed by 1 km/h. How long did he take for his journey back?
3 m
Level 3
Jake walks to school at an average speed of 4 km/h every day. One day, after walking a distance of 1 km, he realised that his watch was slow. So, he ran at a constant speed and managed to reach his school just on time. Later, he calculated that if he had run at this speed right from the start of the journey, he would have reached his school 5 minutes earlier. What was his running speed?
3 m
Level 3 PSLE
Peter and Justin ran in a race around a 400 m track. Peter ran at a speed of 190 m/min and Justin at a speed that was 25 m/min slower than Peter throughout the race. How many complete rounds would Peter have finished when he had run a distance of 300 m more than Justin?
3 m
Level 3
Ryan drove at an average speed of 70 km/h for the first 2 hours of the journey. He then increased his average speed by 15 km/h and drove for another 3 hours until he reached his town. Find his average speed for the whole journey.
3 m
Level 3
Jesse left home at 6.15 a.m. and drove towards the mountain which was 802 km away. For the first 210 km, she was travelling at 70 km/h. Then she increased her speed by 4 km/h and completed the remaining journey.
  1. How long did she take for her whole journey?
  2. At what time did she reach the mountain?
3 m