document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #267978 by robertb(5830) $\"\"$ $\"About$

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Let D = number of hours for painting job, r = number of rooms to paint/painted, and m = number of men doing the painting.
\n" ); document.write( "Then D is directly proportional to r but inversely proportional with m. Hence
\n" ); document.write( " $\"D+=+%28kr%29%2Fm\"$ , where k is a constant of proportionality. To find k,
\n" ); document.write( " $\"9+=+%28k%2A4%29%2F3\"$ , or k = 27/4. Hence $\"D+=+%2827r%29%2F%284m%29\"$ . If m = 1 and r = 1, then D = 27/4 = 6.75, or 6 hours and 45 minutes. \n" ); document.write( "

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