A pump can fill a tank with water in 3 hours. Because of a leak, it took 3hours to fill the tank. In how many hours can the leak alone drain all the water in the tank when it is full?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 30.
A pump can fill a tank with water in 3 hours. Because of a leak, it took 3hours to fill the tank
L.C.M(3 and 3) = 30
The efficiency of pipe = 30/3 = 10 units
The efficiency of (pipe + leakage) = 30/10/3 = 9 units
So,
The efficiency of leakage = (10 - 9) = 1 unit
Time taken = 30/1 = 30 hours
Thus, the time required to empty the tank is 30 hours