How many days are required to complete the work ?

Question

3 men and 4 women do a work in 10 days as 2 men and 6 women do. 4 men and 8 women starts the same work and after 2 days only women remains in the work for completing it.

How many days are required to complete the work ?

Answer 1

(3 men work + 4 women work ) 10 days = (2 men work + 6 women work ) 10 days

3 men + 4 women = 2 men + 6 women
1 men = 2 women

So, total work in case of women is
(3*2 + 4) * 10 = 100 women work.

Thus
( 4*2 + 8 ) * 2 = 32 women work is completed after 2 days. Remaining 68 work is done with 68/8 = 8.5 days by women.....

8.5 days is the answer..!

Answer 2

3-2=1 men; 6-4=2 women; therefore: one men = two women;
3 m = 6 w;
3 m + 4 w = 6 w + 4 w = 10 w;
10 w = 10 days; 10 w * 10 days = 100 days take the work of one woman;

4 m + 8 w = (4 m * 2) + 8 w = 16 w
100/16 w = 6,25 days take the work of sixteen women;
6,25 - 2 = 4,25 would modify the sixteen women and eight remain twice as long, that is
4,25 + 4,25 = 8,5