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

	Scenario 1		Scenario 2
Container type	Container K	Container L	Container K	Container L
Volume of the container	3 u	5 u - 6	6 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 = 6 p --- (1)
5 u - 6 = 6 p
5 u = 6 p + 6 --- (2)

Make u the same.

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

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

(3) = (4)
30 p = 18 p + 18
30 p - 18 p = 18
12 p = 18
1 p = 18 ÷ 12 = 1.5

Volume of Container L
= 6 p
= 6 x 1.5
= 9 ℓ

Answer(s): 9 ℓ