Quantitative Aptitude Ques 1774

Question: 8 men can complete a work in 12 days, 4 women can complete it in 48 days and 10 children can complete the same work in 24 days. In how many days can 10 men, 4 women and 10 children complete the same work?

Options:

A) 10

B) 5

C) 7

D) 6

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • 1 man can finish the work in $ (8\times 12)=96days $ 1 woman can finish the work in $ (4\times 48)=192days $ 1 child can finish the work in $ (10\times 24)=240days $ 1 man’s 1 day’s work $ =\frac{1}{96} $ 1 woman’s 1 day’s work $ =\frac{1}{192} $ 1 child’s 1 day’s work $ =\frac{1}{240} $ (10 men + 4 women + 10 children)’s 1 day’s work $ =( \frac{10}{96}+\frac{4}{192}+\frac{10}{240} )=( \frac{5}{48}+\frac{1}{48}+\frac{1}{24} ) $ $ =( \frac{5+1+2}{48} )=\frac{8}{48}=\frac{1}{6} $ Hence, they will finish the work in 6 days.
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