Question

6 men and 8 women can do a work in 10 days. then 3 men and 4 women can do the same work in

Answer 1

3 men and 4 women can do the same work in 20 days.

Step-by-step explanation:

6 men and 8 women can do a work in 10 days.

Let m be a men and w be a women.

Considering one day's work:

6m + 8w = $\frac{1}{10}$

=> $\frac{1}{2}$(6m + 8w) = $\frac{1}{2} \times\frac{1}{10}$

=> 3m + 4w = $\frac{1}{20}$

One day work of 3 men and 4 women is $\frac{1}{20}$.

Hence, 3 men and 4 women can do the same work in 20 days.