Question

4 men and 6 woman can finish a work in 8 days while 3 mens and 7 womans can do that same work in 10 days.In how many days will 10 woman do the same work.

Answer 1

let work done by 1 men in 1 day=m

let work done by 1 women in 1 day=w

So,

4m+6w=1/8 .....(1)

3m+7w=1/10 ....(2)

Multiply equation(1) by 3 and equation(2) by 4

12m+18w=3/8

12m+28w=4/10

Subtract the two equations,

$\begin{array}{c}10w=\frac{4}{10}-\frac{3}{8}\\ 10w=\frac{32-30}{80}\\ 10w=\frac{1}{40}\end{array}$

So, 10 womens 1 day work will be 1/40

Thus, 10 womens will complete the work in 40 days