Quantitative Aptitude Ques 2085

Question: A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the work in 10 and 24 days, respectively. The days will be taken by a boy to finish the work is

Options:

A) 30

B) 35

C) 40

D) 45

Show Answer

Answer:

Correct Answer: C

Solution:

  • 1 day work of a man, a woman and a boy $ =\frac{1}{6} $ 1 day work of a man $ =\frac{1}{10} $ 1 day work of a woman $ =\frac{1}{24} $ 1 day work of a boy $ =\frac{1}{6}-\frac{1}{10}-\frac{1}{24} $ $ =\frac{20-12-5}{120}=\frac{3}{120}=\frac{1}{40} $ Hence, boy will finish the work in 40 days.