document.write( "Question 770147: A painter can paint a kitchen in 12 hours. An apprentice can paint the same kitchen in 24 hours. If they worked together, how long would it take them to paint the kitchen? \n" ); document.write( "
Algebra.Com's Answer #469345 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A painter can paint a kitchen in 12 hours. An apprentice can paint the same kitchen in 24 hours. If they worked together, how long would it take them to paint the kitchen? \n" ); document.write( "------- \n" ); document.write( "Painter rate:: 1/12 job/hr \n" ); document.write( "Apprentice:::: 1/24 job/hr \n" ); document.write( "Together rate: 1/x job/hr \n" ); document.write( "---------------------- \n" ); document.write( "Equation: \n" ); document.write( "1/12 + 1/24 = 1/x \n" ); document.write( "24x + 12x = 12*24 \n" ); document.write( "36x = 12*24 \n" ); document.write( "---- \n" ); document.write( "x = 8 hrs (amt. of time to do the job together) \n" ); document.write( "------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------- \n" ); document.write( " |