SOLUTION: 4 men and 6 women can complete a work in 8 days while 3 and 7 women can complete it in 10 days in how many days will 10 women complete it?

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Question 1088465: 4 men and 6 women can complete a work in 8 days while 3 and 7 women can complete it in 10 days in how many days will 10 women complete it?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let m = amt of work done by 1 man in 1 day
let w = amt of work done by 1 woman in 1 day
:
4 men and 6 women can complete a work in 8 days
8(4m) + 8(6w) = 32m + 48w = amt of work to complete the job
while 3 and 7 women can complete it in 10 days
10(3m) + 10(7w) = 30m + 70w = amt of work to complete the job
therefore
32m + 48w = 30m + 70w
32m - 30m = 70w - 48w
2m = 22w
m = 11w
Find how many women days required to complete the job
32m + 48w =
Replace m with 11w
32(11w) + 48w = 352w + 48w = 400w women days required
:
in how many days will 10 women complete it?
400/10 = 40 days required by 10 women to complete the job