# 16 women take 12 days to complete a work which can be completed by 12 men in 8 days ,16 men started working and after 3 days, 10 men left and 4 women joined them how many days it will take to complete the remaining work

1
by abhaysingh

2014-11-21T00:47:17+05:30

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16 women take 12 days to complete a work.
in one day 16 women do  1/12 th of work.
in one day 1 woman does  1/(16*12) = 1/192 th of work.

12 men do same work in 8 days.
1 man can do in one day  1/96 th of work.

16 men for 3 days did = 16 * 1/96  * 3  = 1/2 of work.

now there are :  6 men and 4 women.
They can do in one day :    6 * 1/96  + 4 * 1/192 = 1/12th of work

Hence they take 6 days to complete the remaining  1/2 of work.