Question

If 4 men or 6 women can do a work in 20
days, how long will 12 men and 2 women take
T​

Answer 1

Step-by-step explanation:

Let the amount of work done by 1 man in a day be m, and that done by 1 woman be w.

Now, 4m=6w

Or, w=

3

2m

………(1)

Also, amount of work done by 4 men in a day =4m

Or 4m=

42

1

Or, m=

168

1

………(2)

Using (1) and (2), amount of work done by 12 men and 3 women in a day is 12m+3w

=12m+2m (substituting w from 1)

=14m

=14/168

=1/12

So, the total work will be completed in 12 days.