SOLUTION: 12 men take 27 hours to paint a house. Given that all the men work at the same rate, find how long it will take 9 men to paint the same house. I would really appreciate your time a

Question 823903: 12 men take 27 hours to paint a house. Given that all the men work at the same rate, find how long it will take 9 men to paint the same house. I would really appreciate your time and effort if you could help me with this question. I really don't know a method to solve it. Thanks!
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
If only 1 of the men, then the work rate is of the group of 12 men. This means, 1 man goes at the rate of houses per hour. The question is about the rate for 9 men:

Knowing their rates are additive, houses per hour, which using the reciprocal, is 36 hours to paint one house.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
find out the man hours needed to paint the house
12*27=324 man hours needed to paint the house
there are only 9 men available to do the 324 man hours
324/9=36 hours for 9 men

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