A leak in the bottom of a tank can empty the full tank in 6 hours An inlet pipe fills water at the r...........

Quant (SSC) Pipes&cistern

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 a 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 (in litres) is

5780 litres

5770 litres

5760 litres

5750 litres

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Explanation:

Work done by the inlet in 1 hour =
1/6−1/8=1/24
Work done by inlet in 1 min=1/24∗1/60=1/1440
=>Volume of 1/1440 part = 4 liters
Volume of whole = (1440 * 4) litres = 5760 litres.