4 women and 12 children together take 4 days to complete a piece of work. How many days will 4 children alone take to complete the piece of work if 2 women alone can complete the piece of work in 16 days ?

2 women take 16 days to do one item. Therefore each woman contributed 1/32th of the item per day.

4 women working for 4 days = 16/32th part of the item = 1/2 part of the item

12 children therefore make 1/2 part of the work in 4 days

Therefore 12 children can do 1/8th part in day

Therefore 1 child can do 1/96th part of item per day

Therefore 4 children can do 4/96th part of item per day

Hence 4 children will take 96/4 = 24 days to finish the work.