Riordan has 2 containers. Container W and Container X are of different capacities. If Container W is filled by a tap at a rate of 3 litres per minute and Container X is filled by a tap at a rate of 5 litres per minute, when Container W is completely filled, 8 litres of water flowed out from Container X. If Container W is filled by a tap at a rate of 4 litres per minute and Container X is filled by a tap at a rate of 2 litres per minute, when Container W is completely filled, Container X is only one-third-filled. What is the capacity of Container X? Express your answer in litres.

	Scenario 1		Scenario 2
Container type	Container W	Container X	Container W	Container X
Volume of the container	3 u	5 u - 8	4 p	2 p x 3 = 6 p

Let 1 u be the time taken for Scenario 1.
Let 1 p be the time taken for Scenario 2.

3 u = 4 p --- (1)
5 u - 8 = 6 p
5 u = 6 p + 8 --- (2)

Make u the same.

(1) x 5
15 u = 20 p --- (3)

(2) x 3
15 u = 18 p + 24 --- (4)

(3) = (4)
20 p = 18 p + 24
20 p - 18 p = 24
2 p = 24
1 p = 24 ÷ 2 = 12

Volume of Container X
= 6 p
= 6 x 12
= 72 ℓ

Answer(s): 72 ℓ