Question

3 men or women can do a work in 12 days. How long will 6men and 5 women take to do it.

Answer 1

3 men or women can do the work in 12 days.
1 man or woman can do the work = 12×3 = 36 days.
1 man or women will do in 1 day = 1/36 of the work.

6 men in 1 day will day do = $\frac{1}{36} \times 6= \frac{6}{36}$ of work
5 women in 1 day will day do = $\frac{1}{36} \times 5= \frac{5}{36}$ of work

together they can do in 1 day = $\frac{5}{36}+ \frac{6}{36}= \frac{5+6}{36}= \frac{11}{36}$ of the work

They will complete in = $\frac{1}{11/36}= \frac{36}{11}$ days