Question

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. in how many days will 10 women complete it? 35 40 45 50

Answer 1

(4M+6W)8 = (3M+7W)10
32M+48W = 30M+70W
32M-30W = 70W-48W
2M = 22W
M = 11W

4*11W+6W=8
50W=8
10W = 8*5=40

Answer 2

Let the work done by 1 men in 1-day be x.

Let the work done by 1 women in 1-day be y.

Given,

 4x + 6y = 1/8  ----- (1)

3x + 7y = 1/10 ----- (2)

On solving (1) * 3 & (2) * 4, we get

12x + 28y = 4/10

12x + 18y = 3/8

-----------------------

        10y = 1/40

           y = 1/400.

Now,

We got 1 women's 1-day work = 1/400.

Then 10-women's 1-day work = 1/400 * 10

                                                 = 1/40.

Therefore 10 women can complete the work in 40 days.