2 men and 5 women can do a work in 12 days 5 men 2 women can do that work

Answer is 36 days
work done by 2 men and 5 women in 12 days = work done by 5 men and 2 women in 9 days
let work done by 1 men in 1 day = M
let work done by 1 women in 1 day = W
so work done by 2 men in 1 day = 2M, work done by 5 women in 1 day = 5W
work done by 2 men and 5 women togther in 12 days = (2M+5W) x 12
similerly work done by 5 men and 2 women in 9 days = (5M+2W) x 9

According to question
(2M+5W) x 12 = (5M+2W) x 9
=> M=2W
=>3W = 3/2M
so work done by 3 Women = [(5M+M) x 9]/[3/2M]
=6M x 9 x 2/3M
=36 days
9 years agoHelpfull: Yes(0) No(0)
2m+5w=12 ............... , 24m+60w=1
5m+2w=9 ................. , 45m+18w=1
24m+60w = 45m+18w
42w = 21m
2w = 1m
take 2nd relation
5m+2w = 9
10w+2w = 9
12w = 9
work = man * days
= 9 * 12
= 108
days taken by 3w
= 108%3
= 36days.
8 years agoHelpfull: Yes(0) No(0)
2M + 5W = 1/12
5M + 2W = 1/9
Solving above two equations, W = 1/108
For 3W = 3(1/108) = 1/36

Answer: 36 days
3 years agoHelpfull: Yes(0) No(0)

2 men and 5 women can do a work in 12 days. 5 men 2 women can do that work in 9 days. Only 3 women can finish the same work in-