# 10 men can complete a work in 7 days, and 10 women take 14 days to complete the work. How many days will 5 men and 10 women take to complete the work?

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by ishtpreet

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by ishtpreet

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10 women completed work in 14 days.

ie, 1 men productivity = 2 women

Hence, 5 men = 10 women

Hence, in effect we've 20 women. (5men & 10 women)

If 10women can do work in 14days, 20 women can do the same work in half the time (double number of workers) i.e 7days.

work done by 10 women in one day=1/14

thus, work done by 5 men in a day=1/(7x2) =1/14

adding both, we get the answer:

work done by 5 men and 10 women in a day=1/14 +1/14

=1/7

so,time taken = 7 days