document.write( "Question 780897: A painter can paint a kitchen in 3 hours. An apprentice can paint the same kitchen in 6 hours. If they worked together, how long would it take them to paint the kitchen? \n" ); document.write( "
Algebra.Com's Answer #475705 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Painter's rate = 1/3 job/hr \n" ); document.write( "Apprentice's rate = 1/6 job/hr \n" ); document.write( "Together rate = 1/x job/hr \n" ); document.write( "1/3 + 1/6 = 1/x \n" ); document.write( "Common denominator = 6x \n" ); document.write( "2x + x = 6 \n" ); document.write( "3x = 6 \n" ); document.write( " x = 2 hours. \n" ); document.write( "Together they can paint the kitchen \n" ); document.write( "in 2 hours. \n" ); document.write( "Hope this helped. \n" ); document.write( ":-) \n" ); document.write( " |