RRB ALP 2013 Ques 79
Question: A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?
Options:
A) 9 days
B) 21 days
C) 24 days
D) 27 days
Show Answer
Answer:
Correct Answer: A
Solution:
- Work of (1 ma n + 1 women + 1 boy) for 1 day $ =\frac{1}{3} $
$ \therefore $ Work of 1 man for 1 day $ =\frac{1}{6} $ and work of 1 boy for 1 day $ =\frac{1}{18} $
$ \therefore $ Work of 1 women for 1 day $ =\frac{1}{3}-\frac{1}{6}-\frac{1}{18}=\frac{1}{9} $ Hence, woman alone will complete the work in 9 days.
BETA
