Quantitative Aptitude Ques 1183

Question: 4 men can do a piece of work in 10 days, 2 women can do it in 15 days and 5 children can do it in 12 days. In how many days can 8 men, 5 women and 15 children together complete the piece of work (in days)?

Options:

A) $ \frac{60}{37} $

B) $ \frac{60}{47} $

C) $ \frac{60}{27} $

D) $ \frac{60}{57} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • 4 men’s 1 day’s work $ =\frac{1}{10} $ 1 man’s 1 day’s work $ =\frac{1}{40} $ 2 women’s 1 day’s work $ =\frac{1}{15} $ 1 women’s 1 day’s works $ =\frac{1}{30} $ 5 children 1 day’s work $ =\frac{1}{12} $ 1 child’s 1 day’s work $ =\frac{1}{60} $ (8 men + 6 women + 15 children)’s 1 day’s works $ =\frac{8}{40}+\frac{5}{30}+\frac{15}{60}=\frac{1}{5}+\frac{1}{6}+\frac{1}{4}=\frac{37}{60} $ They finish the work in $ \frac{60}{37} $ days.