Question

25 men and 15 women can complete a piece of work in 12 days.all of them starting togther and after working and after 8 days the women stoped working.25 men complete the remaining work in 6 days.in how many days can one women complete the job

Answer 1

25 men and 15 women complete a work in 12 days.
In 1 day they do: 1/12 work

In 8 days they did : 8*1/12= 2/3 work
Work remaining = 1 - 2/3 = 1/3 work

25 Men did 1/3 work in 6 days
25 men do 1 work in 6*3/1 = 18 days
 
25 men complete 1 work in 18 days
In 1 day they do : 1/18 work
In 1 day 25 men & 15 women do: 1/12 work
15 women in 1 day do: 1/x work
Given: 1/x + 1/18 = 1/12
1/x = 1/12 - 1/18 = 3-2/36 = 1/36
Hence 15 women in 1 day do 1/36 work
So 15 women do 1 work in 36 days.

So 1 woman can complete the job in :36*15 = 540 days.
Hope this helps