Question

If 4 men and 3 women can do a work in 8 days . 6 men and 9 women can do the same work in 4 days. In how many days can 20 men and 6 women do the same work.​

Answer 1

Step-by-step explanation:

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,

10w=

10

4

−

8

3

10w=

80

32−30

10w=

40

1

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

Thus, 10 womens will complete the work in 40 days