SOLUTION: If 6 men and 5 women complete a task in 6 days while the same task complete by 3 men and 4 women in 10 days. How long will take for 9 men and 15 women to complete this task?

Question 894689: If 6 men and 5 women complete a task in 6 days while the same task complete by 3 men and 4 women in 10 days. How long will take for 9 men and 15 women to complete this task?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
6*6=36 md
5*6=30 wd
3*10=30 md
4*10=40 wd
36md+30wd=30md+40wd
6md=10wd
.6m=1w
36mh+30*wd*.6=(36+18) md =54 md
30md+.6*40wd=(30+24)md=54 md
9d+.6*15d=54
9d+9d=54
18x=54
d=3 days for 9 men and 15 women
another way
6/x+5/y=1/6
3/x+4/y=1/10
6/x+5/y=1/6
6/x+8/y=2/10
6/x+8/y=6/30
6/x+5/y=5/30
subtract
3/y=1/30

x = 54, y = 90
9/54+15/90=1/d
1/6+1/6=1/d
2/6=1/d
d=3

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