document.write( "Question 251435: Heidi can type a manuscript in 8 hours. Working together it takes Heidi and Dolores 5 hours to do the same job. How long would it take Dolores to type the manuscript by herself? \n" ); document.write( "
Algebra.Com's Answer #183111 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Heidi can type a manuscript in 8 hours. Working together it takes Heidi and Dolores 5 hours to do the same job. How long would it take Dolores to type the manuscript by herself? \n" ); document.write( "-------------------- \n" ); document.write( "Heidi DATA: \n" ); document.write( "time = 8 hrs/job ; rate = 1/8 job/hr \n" ); document.write( "----------------------- \n" ); document.write( "Together DATA: \n" ); document.write( "time = 5 hrs/job ; rate = 1/5 job/hr \n" ); document.write( "----------------------- \n" ); document.write( "Dolores DATA: \n" ); document.write( "time = x hrs/job ; rate = 1/x job/hr \n" ); document.write( "-------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/8 + 1/x = 1/5 \n" ); document.write( "Multiply thru by 40x to get: \n" ); document.write( "5x + 40 = 8x \n" ); document.write( "3x = 40 \n" ); document.write( "x = 13 1/3 hrs (time for Dolores to do the job alone) \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |