Pipe A can fill a tank completely in 5 hours. However, on account of a leak at the tank, it takes 3 more hours to fill the tank. How long will the leak take to empty the full tank when pipe A is closed/shut ?

Options

A. 7.5 hours
B. 14 hours 40 minutes
C. 12 hours 20 minutes
D. 13 hours 20 minutes

Answer

D

Explanation

Pipe A can fill a tank completely in 5 hours. On account of a leak at the tank, it takes
5 + 3 = 8 hours to fill the tank. Time taken by the leak to empty the full tank
`=(5xx8)/(8-5)=(40)/(3)`
=13 hours 20 minutes