Evan has 2 containers. Container A and Container B are of different capacities. If Container A is filled by a tap at a rate of 3 litres per minute and Container B is filled by a tap at a rate of 5 litres per minute, when Container A is completely filled, 8 litres of water flowed out from Container B. If Container A is filled by a tap at a rate of 6 litres per minute and Container B is filled by a tap at a rate of 2 litres per minute, when Container A is completely filled, Container B is only one-quarter-filled. What is the capacity of Container B? Express your answer in litres.

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

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

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

Make u the same.

(1) x 5
15 u = 30 p --- (3)

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

(3) = (4)
30 p = 24 p + 24
30 p - 24 p = 24
6 p = 24
1 p = 24 ÷ 6 = 4

Volume of Container B
= 8 p
= 8 x 4
= 32 ℓ

Answer(s): 32 ℓ