A tank is normally filled in 18 hours by a pipe, but it takes 6 hours more to fill the tank due to a leak at its bottom. The leakage point can empty the tank when it is two-thirds full in ___ hours.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 48.
LCM(18, 24) = 72
The efficiency of the pipe (inlet) = 72/18 = 4 units
The efficiency of the pipe and the leak = 72/24 = 3 units
The efficiency of leakage = 3 - 4 = - 1 unit
Time taken by the leakage pipe = = 48 hours