Ellie has 2 containers. Container F and Container G are of different capacities. If Container F is filled by a tap at a rate of 5 litres per minute and Container G is filled by a tap at a rate of 7 litres per minute, when Container F is completely filled, 8 litres of water flowed out from Container G. If Container F is filled by a tap at a rate of 5 litres per minute and Container G is filled by a tap at a rate of 2 litres per minute, when Container F is completely filled, Container G is only one-third-filled. What is the capacity of Container G? Express your answer in litres.

	Scenario 1		Scenario 2
Container type	Container F	Container G	Container F	Container G
Volume of the container	5 u	7 u - 8	5 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.

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

Make u the same.

(1) x 7
35 u = 35 p --- (3)

(2) x 5
35 u = 30 p + 40 --- (4)

(3) = (4)
35 p = 30 p + 40
35 p - 30 p = 40
5 p = 40
1 p = 40 ÷ 5 = 8

Volume of Container G
= 6 p
= 6 x 8
= 48 ℓ

Answer(s): 48 ℓ