Question:

Carlo filled a container with water using two taps. He turned on Tap A first and after 4 minutes, he also turned on Tap B. Both taps were turned off at the same time when the container was completely filled without overflowing. The graph shows the amount of water in the container over 16 minutes.

- What fraction of the container was filled 4 minutes after Tap A was turned on? Express your answer in the simplest form.
- In one minute, how many litres of water flowed from Tap B?

2 m

Water drips from a tank tap at 8 mℓ per second into an empty pail. How much water is collected in 2 hours? (Express the answer in mℓ.)

2 m
Container A and Container B are fully filled with water. If all the water in Container A is poured into Tank C, it is 30 litres short of filling it to the brim. If all the water in Container B is poured into the same tank, it is 56 litres short of filling it to the brim. If the water from both containers is poured into the same tank, it will completely fill it. If both Tank C and Container B are completely filled, how much more water can Tank C fill than Container B?

2 m
The figure shows a rectangular tank measuring 55 cm by 22 cm by 24 cm. It was ^{1}_{3} filled with water at first. Dylan turned on a tap and let water flow into the tank at a rate of 1.36ℓ per minute. After 15 minutes, he turned off the tap. How much water had overflowed? (Express your answer in ℓ.)

3 m

9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up ^{3}_{4} of the tank. What is the height of the tank? Correct the answer to 1 decimal place.

3 m
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.

3 m

The figure shows a rectangular tank measuring 55 cm by 22 cm by 24 cm. It was ^{1}_{3} filled with water at first. Dylan turned on a tap and let water flow into the tank at a rate of 1.36ℓ per minute. After 15 minutes, he turned off the tap. How much water had overflowed? (Express the answer in ℓ.)

3 m

Shemy placed three empty tanks side by side. The smallest tank has a crack at its side and the base area of each tank is 16 cm^{2}. After she turned on the tap for 64 minutes, the height of the water in the smallest tank became 6 cm although 0.5 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the tap. Give the answer in mℓ/min.

3 m

It takes Faucet A 30 minutes to fill a tank measuring 12 cm by 10 cm by 22 cm completely while it takes Faucet B only 25 minutes. How long will it take to completely fill the tank with water if both the faucets are turned on at the same time? Leave the answer in minutes and round off to 2 decimal places.

3 m
Tap A can fill a tank completely in 2 hours while Tap B takes an hour more to fill the same tank completely. There is a hole at the bottom of the tank which can empty the full tank in 6 hours. How long does it take for the tank to be completely filled if both taps are turned on?

3 m