Level 3
At 10 a.m., Mrs Leng used two taps to fill up a tank. Tap A could fill the tank in 4 h. Tap B could fill the tank in 3 h. 1 hour after both taps were turned on, Tap B was faulty and stopped working. Mrs Leng accidentally opened Tap C which could drain a full tank completely in 2 h. Instead of being filled, the tank was emptied. How long did it take for the tank to be completely empty? Express your answer in mixed number.
4 m
Level 3
A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
4 m
Level 3
A rectangular container measuring 55 cm by 50 cm by 23 cm was 110 filled with water. Mary turned on a tap at 9.36 p.m. to fill more water into the container. She turned off the tap at 9.59 p.m. The container was 910 filled with water. Given that the water flowed out of the tap at the same rate, find the volume of water that flowed out of the tap in a minute. Give your answer in litres.
4 m
Level 3
The figure shows an empty rectangular tank with a capacity of 35 ℓ. The tank has a height of 25 cm. Tap A filled the tank at a rate of 1.8 ℓ per minute. Tap B drained water from the tank at a rate of 1.1 ℓ per minute. Both taps were turned on for 20 minutes and then turned off.
  1. What is the base area of the tank?
  2. After both taps were turned off, how much more water is needed to fill the tank completely? Give your answer in litres.
4 m
Level 3
At first, 13 of Container B was filled with water and Container C was empty. Then, both taps were turned on at the same time and water from both taps flowed at the same rate of 2.2 litres per minute. Both taps were turned off immediately when Container B was filled to the brim.
  1. How much water was there in Container B at first?
  2. How long did it take for the water from the tap to fill Container B to the brim?
  3. What fraction of Container C was filled with water in the end? Give your answer in the simplest form.
4 m