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 Choose the correct choice from the following:  A) 5780 litres  B) 5770 litres  C) 5760 litres  D) 5750 litres  E) 5740 litres

Rationale: "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 . option c"
Answer: C