# How many days are required to complete the work ?

175 views

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 ?

posted Apr 8, 2015

(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.....

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

Similar Puzzles

10 men and 15 women complete half of the work in 12 days and 6 men and 15 women complete one third of the work in 10 days.
How many days are required to complete the same full work by taking 10 men and 30 women?