Maya has 2 tanks. Tank E and Tank F are of different capacities. If Tank E is filled by a tap at a rate of 4 litres per minute and Tank F is filled by a tap at a rate of 6 litres per minute, when Tank E is completely filled, 8 litres of water flowed out from Tank F. If Tank E is filled by a tap at a rate of 6 litres per minute and Tank F is filled by a tap at a rate of 2 litres per minute, when Tank E is completely filled, Tank F is only one-quarter-filled. What is the capacity of Tank F? Express your answer in litres.

	Scenario 1		Scenario 2
Tank type	Tank E	Tank F	Tank E	Tank F
Volume of the tank	4 u	6 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.

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

Make u the same.

(1) x 3
12 u = 18 p --- (3)

(2) x 2
12 u = 16 p + 16 --- (4)

(3) = (4)
18 p = 16 p + 16
18 p - 16 p = 16
2 p = 16
1 p = 16 ÷ 2 = 8

Volume of Tank F
= 8 p
= 8 x 8
= 64 ℓ

Answer(s): 64 ℓ