document.write( "Question 410057: It takes jane 15 hours to paint a house. It takes john 18 hours to paint the same house. How long will it take both of them, working together, to paint the house? \n" ); document.write( "
Algebra.Com's Answer #288460 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! It takes jane 15 hours to paint a house. It takes john 18 hours to paint the same house. How long will it take both of them, working together, to paint the house? \n" ); document.write( ". \n" ); document.write( "Let x = time(hours) it takes for both \n" ); document.write( "then \n" ); document.write( "x(1/15 + 1/18) = 1 \n" ); document.write( "multiplying both sides by (15)(18): \n" ); document.write( "x(1/15 + 1/18) = 1 \n" ); document.write( "x(18 + 15) = (15)(18) \n" ); document.write( "x(33) = 270 \n" ); document.write( "x = 8.182 hours \n" ); document.write( "or \n" ); document.write( "x = 8 hours and 11 minutes \n" ); document.write( " \n" ); document.write( " |