SOLUTION: 10 men and 15 women can do a piece of work in 30 days, Calculate in how many days can the work be done by 12 men and 27 women working together?

Question 294861: 10 men and 15 women can do a piece of work in 30 days, Calculate in how many days can the work be done by 12 men and 27 women working together?
Found 2 solutions by richwmiller, Alan3354:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
10+15=25 people
Here we make the gross judgment that all men and women work at the same rate and ability.
25*30=750 work hours
12+27=39
750/39=19.23 days almost 19 1/4 days

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
10 men and 15 women can do a piece of work in 30 days, Calculate in how many days can the work be done by 12 men and 27 women working together?
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No info is given on any difference between the rate of the men and women, so it must be assumed to be equal.
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25*30 = 750 man-days total
750/39 =~ 19.23 days

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