1. 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?
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By: anil on 05 May 2019 01.18 am
6 women complete a piece of work in 3 days. Hence, one woman can complete $$frac{1}{18}$$ piece of work in one day. 3 women and 18 children take 2 days to complete the work. 3 women in 2 days complete $$3*2*frac{1}{18}=frac{1}{3}$$ Hence, in two days 18 children complete $$1-frac{1}{3}=frac{2}{3}$$ of the work. So, amount of work done by 1 child in a day is $$frac{2}{3}*frac{1}{36}=frac{1}{54}$$ So, 9 children complete $$9*frac{1}{54}=frac{1}{6}$$ part of the work in a day. Hence, the number of days in which 9 children alone complete the work is $$6$$
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