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Question 113
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?
Solution
Work done by 18 women in 1 day = $$\frac{1}{12}$$
Work done by 1 woman in 1 day = $$\frac{1}{12\times18}$$
Work done by 12 men in 1 day = $$\frac{1}{9}$$
Work done by 1 man in 1 day = $$\frac{1}{9\times12}$$
Work done by 8 men and 8 women in 1 day = $$8\times(\frac{1}{12\times18} + \frac{1}{9\times12})$$ = $$\frac{1}{9}$$
$$\therefore$$ They will take 9 days to finish the work.
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