1. Six women alone can complete a piece of work in 10 days whereas 10 children alone take 15 days to complete the same piece of work. How many days will 6 women and 10 children together take to complete the piece of work ?
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By: anil on 05 May 2019 01.19 am
6 women take 10 days to complete a piece of work.
So, the amount of work done by 6 women in 1 day is $$frac{1}{10}$$ 10 children take 15 days to complete a piece of work.
So, the amount of work done by 10 children in 1 day is $$frac{1}{15}$$ So, the amount of work done by 6 women and 10 children in 1 day is $$frac{1}{10}+frac{1}{15} = frac{1}{6}$$ Hence, the number of days taken by 6 women and 10 children to complete the piece of work is 6 days.
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So, the amount of work done by 6 women in 1 day is $$frac{1}{10}$$ 10 children take 15 days to complete a piece of work.
So, the amount of work done by 10 children in 1 day is $$frac{1}{15}$$ So, the amount of work done by 6 women and 10 children in 1 day is $$frac{1}{10}+frac{1}{15} = frac{1}{6}$$ Hence, the number of days taken by 6 women and 10 children to complete the piece of work is 6 days.