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.