Quantitative Aptitude Ques 162

Question: 24 men can complete a piece of work in 15 days. 2 days after 24 men started working, 4 men left the work. How many more days will the remaining men now take to complete the remaining work?

Options:

A) $ 15\frac{3}{5} $

B) $ 16\frac{4}{5} $

C) $ 11\frac{2}{5} $

D) $ 10\frac{4}{5} $

E) $ 14\frac{1}{5} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ \frac{Work}{Men\times Days}=\frac{Remaining,work}{Men\times Days} $ $ \frac{W}{24\times 13}=\frac{W}{20\times D} $
    $ \Rightarrow $ $ 20\times D=24\times 13 $

$ \Rightarrow $ $ D=\frac{24\times 13}{20}=\frac{78}{5}=15\frac{3}{5}days $