Question
5 men and 6 women can do a piece of work in 6 days while
3 men and 5 women can do the same work in 9 days. In how many days can 3 men and 2 women do the same work?Solution
ATQ, Let the work done by 1 man per day = M and 1 woman per day = W. 5M+6W= 1/6 (Work done in 1 day by 5 men and 6 women). 3M+5W= 1/9 (Work done in 1 day by 3 men and 5 women). From the equations: Solve to find M= 1/42 and W = 1/126 Hence, Work by 3 men and 2 women in 1 day 
The total time to finish the work is = days = [1/(11/126)] = 126/11 or 11(5/11) days
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