Question: 3 women and 18 children together take 2 days to complete a piece of work. How many days will 9 children alone take to complete the piece of work, if 6 women alone can complete the piece of work in 3 days?
[IBPS (Clerk) 2011]
Options:
A) 9
B) 7
C) 5
D) 6
E) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
- One day work of 6 women $ =\frac{1}{3} $
One day work of 1 woman $ =\frac{1}{18} $
and one day’s work of 3 women $ =\frac{3}{18}=\frac{1}{6} $
$ \therefore $ One day’s work of 18 children $ =\frac{1}{2}-\frac{1}{6}=\frac{3-1}{6}=\frac{1}{3} $
One day’s work of 1 child $ =\frac{1}{3\times 18}=\frac{1}{54} $
Hence, one day’s work of 9 children $ =\frac{9}{3\times 18}=\frac{1}{6} $
Hence, 9 children will take 6 day’s work to complete the work.