A leak in the bottom of a tank can empty the full tank in 6 hours. An Inlet pipe fills water at the rate of 4 litres per minute. When the tank is full, the Inlet is opened and due to the leak the tank is empty in 8 hours. The capacity of the tank is?

5260 litres
5760 litres
5846 litres
6970 litres

Correct Answer: 5760 litres

Explanation:

Part filled by inlet in 1 hour = (1/6 - 1/8) = 1/24
So, the inlet can fill the tank in 24 hours
∴ Capacity of the tank = Water that flows in 24 hours = (4 x 24 x 60) liters = 5760 liters

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