document.write( "Question 506533: One man can paint a garage in 28 hours. After working for 12 hours, he was given a new job, and a second man finished painting in 18 hours. How long would the second man take take to paint to whole garage? \n" ); document.write( "
Algebra.Com's Answer #340191 by nerdybill(7384) You can put this solution on YOUR website! One man can paint a garage in 28 hours. After working for 12 hours, he was given a new job, and a second man finished painting in 18 hours. How long would the second man take take to paint to whole garage? \n" ); document.write( ". \n" ); document.write( "Let x = time (hours) it takes second man to paint whole garage \n" ); document.write( "then \n" ); document.write( "12(1/28) + 18(1/x) = 1 \n" ); document.write( "multiplying both sides by 28x: \n" ); document.write( "12(x) + 18(28) = 28x \n" ); document.write( "12x + 504 = 28x \n" ); document.write( "504 = 16x \n" ); document.write( "31.5 hours = x\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |