SOLUTION: Hi if 4 men or 3 women can do a piece of work in 31 days, how long can 5 men and 4 women can do the work. Thanks

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Question 1144935: Hi
if 4 men or 3 women can do a piece of work in 31 days, how long can 5 men and 4 women can do the work.
Thanks
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
One-man rate, 1%2F%284%2A31%29
One-woman rate, 1%2F%283%2A31%29


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how long can 5 men and 4 women can do the work.
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The work rate, 5%281%2F%284%2A31%29%29%2B4%281%2F%283%2A31%29%29
5%2F%284%2A31%29%2B4%2F%283%2A31%29
%283%2F3%29%285%2F%284%2A31%29%29%2B%284%2F4%29%284%2F%283%2A31%29%29
%2815%2B16%29%2F%283%2A4%2A31%29
31%2F%283%2A4%2A31%29
1%2F12
This means ONE piece of work in 12 days.

highlight%2812%29