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.
BETA
