document.write( "Question 200990: If it takes Sally 4 hours to paint a house and John 6 hours to paint the same house, how long does it take them to paint the house together? \n" ); document.write( "
Algebra.Com's Answer #151248 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Rate of Sally = 1 house / 4 hrs = .25 House / hr \n" ); document.write( ". \n" ); document.write( "Rate of John = 1 house / 6 hrs = .167 house / hr \n" ); document.write( ". \n" ); document.write( "combined rate is .417 house per hr,,,,(.25 +.167) \n" ); document.write( ". \n" ); document.write( "Rate * Time = Distance \n" ); document.write( ". \n" ); document.write( ".417 house / hr * t hrs = 1 house \n" ); document.write( ". \n" ); document.write( "t= 1 / .417 = 2.4 hrs \n" ); document.write( ". \n" ); document.write( "check \n" ); document.write( ". \n" ); document.write( "2.4 * 1/4 + 2.4 * 1/6 = .6+.4 =1,,,,,, ok \n" ); document.write( " \n" ); document.write( " |