Question

10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. if all they together works then in how many days they complete the work?

Answer 1

10 men takes 15 days.
1 man takes 15/10 days.
In 1 day, 10/15 men are required.

15 women takes 12 days.
1 woman takes 12/15 days.
In 1 day, 15/12 women are required.

Answer is

10/15 +15/12=23/12 days

Answer 2

Answer: $8\tfrac{4}{7}$

Step-by-step explanation:

as we know

$m_{1} d_{1} = m_{2 d_{2$

so

10m * 15 d = 15w *12 d

5m =6w

if they work together

let together can complete work in x days.

then

(10m + 15w) * xd = 15w * 12d

(6w + 15w )*x = 15w * 12

21 w * x= 15w * 12

x = $\frac{60}{7}\\\\=8\tfrac{4}{7}$

so together they complete work in $8\tfrac{4}{7}$