A tank can be filled in 30 minutes. There is a leakage which can empty it in 60 minutes. In how many minutes can the tank be filled?

Question

A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is $2400 \, m^3$. The emptying capacity of the pump is $10 \, m^3$ per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.

Answer 1

Take the total tank capacity as 60 units, a number divisible by both 30 and 60. The filling pipe then adds $60/30 = 2$ units per minute, while the leak removes $60/60 = 1$ unit per minute. Together the tank gains $2 - 1 = 1$ unit each minute, so filling all 60 units takes $60/1 = 60$ minutes. $\boxed{60 \text{ minutes}}$

A tank can be filled in 30 minutes. There is a leakage which can empty it in 60 minutes. In how many minutes can the tank be filled?

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The Correct Option is C

Solution and Explanation

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