# 03 men and 06 women complete a work in 06 days.04 men 05 women complete the same work on 05 days. So how many men are equal to 11 women for the same job.

2
by arunswasti

2015-04-26T14:46:20+05:30

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3 men and 6 women complete a work in 6 days.
This means the work takes 3*6 = 18 man days and 6*6 = 36 woman days.

4 men and 5 women complete the same work in 5 days.
This means the work takes 4*5 = 20 man days and 5*5 = 25 woman days.

difference in man days : 20-18 = 2
difference in woman days : 25-36 = -11

So adding 2 man days decreased the woman days by 11. Thus, men are equal to 11 women for this job.
2015-04-26T21:15:13+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let productivity of a man = M  amount / day
let productivity of a woman = W   amount / day

total work amount = W = (3 M + 6 W) /day * 6 days
= (4 M +  5 W) /day * 5 days
=> 18 M + 36 W = 20 M + 25 W
=>  11 W = 2 M

Hence, 11 women do the same amount of work as 2 men do.