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?

Explanation:

Since, 3 women + 18 children complete work in 2 days. Therefore ( 3×2) women + ( 18×2)

children complete work in 1 day. i.e., 6 women + 36 children complete Work in 1 day.

Work of 36 children for 1 day= 1−1\3=2\3

[ Work of 6 women for 1 day=1/3]

36 children do 2/3 part of the work in 1 day

36 children can do the work in 3/2 days.

9 children can do the work in (3\2×4) = 6 days