Quantitative Aptitude Ques 737

Question: A does 20% less work than B. If A complete a piece of work in $ 7\frac{1}{2}h, $ then B can do it in

Options:

A) $ 6\frac{1}{2}h $

B) $ 6h $

C) $ 5\frac{1}{2}h $

D) $ 5h $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the slower pipe fills a tank in $ xh, $ then faster pipe fills the tank in $ \frac{x}{3}h. $ Now, $ \frac{1}{x}+\frac{1}{x/3}=\frac{1}{36}\times 60h $

$ \Rightarrow $ $ \frac{1}{x}+\frac{3}{x}=\frac{60}{36} $

$ \Rightarrow $ $ \frac{4}{x}=\frac{60}{36} $
$ \Rightarrow $ $ =\frac{12}{5}=2h24\min $