Quantitative Aptitude Ques 268

Question: An electric pump can fill a tank in 3 h. Because of a leak in the tank, it took $ 3\frac{1}{2}h $ to fill the tank. The leak can drain out all the water of the tank in

Options:

A) $ 10\frac{1}{2}h $

B) 12 h

C) 21 h

D) 24 h

E) 28 h

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the leak can drain out water in x h. Then, according to the question, $ \frac{1}{3}-\frac{1}{x}=\frac{2}{7} $

$ \Rightarrow $ $ \frac{1}{x}=\frac{1}{3}-\frac{2}{7} $

$ \Rightarrow $ $ \frac{1}{x}=\frac{7-6}{21}=\frac{1}{21} $

$ \Rightarrow $ $ \frac{1}{x}=\frac{1}{21} $
$ \Rightarrow $ $ x=21,h $