Question

10. 3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to

complete the same work . In how many days will 10 women complete the same work?​

Answer 1

Answer:

16 days

Step-by-step explanation:

let's men be a

and women be b

by 1st condition,

3a+7b=10.........(1)

by 2nd condition,

4a+6b=8...........(2)

Now ,multiply eq.1 by 4

12a+28b=40......(3)

and multiply eq.2 by 3

12a+18b=24.......(4)

Now,subtract eq.2 by eq.1

therefore,

12a+28b=40

- 12a+18b=24

_______________

10b=16

.:. b = 1.6

but we have 10 women's

.: 10b=10×1.6

=16