Quantitative Aptitude Ques 431

Question: A pipe can fill a tank in 24 h. Due to a leakage in the bottom. It is filled in 36 h. If the tank is half full, how much time will the leak take to empty the tank?

Options:

A) 24 h

B) 48 h

C) 72 h

D) 36 h

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the leak will empty the full tank in x h,

$ \therefore $ From question, $ \frac{1}{24}-\frac{1}{x}=\frac{1}{36} $
$ \Rightarrow , $ $ \frac{1}{x}=\frac{1}{24}-\frac{1}{36}\frac{1}{2} $

$ \Rightarrow $ $ \frac{1}{x}=\frac{3-2}{72}=\frac{1}{72} $ So, the pipe will take 72 h to empty the full tank, Therefore, to empty half the tank it will take 36 h.