Quantitative Aptitude Ques 69

Question: Two men alone or three women alone can complete a piece of work in 4 days. In how many days can one woman and one man together complete the same piece of work?

Options:

A) 6 days

B) $ \frac{24}{5},days $

C) $ \frac{12}{1.75},days $

D) Cannot be determined

E) None of the above

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ 2M=3W $

$ \therefore $ $ 1M=\frac{3}{2}W $ Now, $ 1M+1W=\frac{3}{2}W+1W=\frac{5}{2}W $ Number of days $ =\frac{3\times 4}{\frac{5}{2}}=\frac{24}{5}days $