SOLUTION: if 3 men can paint 4 rooms in 9 hours how many hours and minutes will it take for one man to paint one room assuming he can work at the same rate alone?

Question 376735: if 3 men can paint 4 rooms in 9 hours how many hours and minutes will it take for one man to paint one room assuming he can work at the same rate alone?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let D = number of hours for painting job, r = number of rooms to paint/painted, and m = number of men doing the painting.
Then D is directly proportional to r but inversely proportional with m. Hence
, where k is a constant of proportionality. To find k,
, or k = 27/4. Hence . If m = 1 and r = 1, then D = 27/4 = 6.75, or 6 hours and 45 minutes.
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