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Multiple Choice Questions

2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can...........

Quantitative Aptitude (CHSL) Time and work

2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?

9 days

6 days

7 days

12 days

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Explanation:

2m + 3w = 4, 3m + 2w = 3
So 4(2m + 3w) = 3(3m + 2w)
8m + 12w = 9m + 6w
6w = 1m
Given 2m + 3w = 4, so 2*(6w) + 3w = 4, so 15 women in 4 days, so 10 women in (15*4)/10 = 6 days

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