1. 18 women can complete a work in 12 days and 12 men can complete the same work in 9 days. In how many days will 8 men and 8 women complete that work?
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By: anil on 05 May 2019 01.26 am
Work done by 18 women in 1 day = $$frac{1}{12}$$
Work done by 1 woman in 1 day = $$frac{1}{12 imes18}$$
Work done by 12 men in 1 day = $$frac{1}{9}$$
Work done by 1 man in 1 day = $$frac{1}{9 imes12}$$
Work done by 8 men and 8 women in 1 day = $$8 imes(frac{1}{12 imes18} + frac{1}{9 imes12})$$ = $$frac{1}{9}$$
$$ herefore$$ They will take 9 days to finish the work.
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Work done by 1 woman in 1 day = $$frac{1}{12 imes18}$$
Work done by 12 men in 1 day = $$frac{1}{9}$$
Work done by 1 man in 1 day = $$frac{1}{9 imes12}$$
Work done by 8 men and 8 women in 1 day = $$8 imes(frac{1}{12 imes18} + frac{1}{9 imes12})$$ = $$frac{1}{9}$$
$$ herefore$$ They will take 9 days to finish the work.