document.write( "Question 393361: Arthur can edit 15 essays in 10 h. Debra needs 15 h to do the same job. If they work together, how long will it take them to edit the essays? \n" ); document.write( "
Algebra.Com's Answer #279172 by stanbon(75887) ![]() You can put this solution on YOUR website! Arthur can edit 15 essays in 10 h. Debra needs 15 h to do the same job. If they work together, how long will it take them to edit the essays? \n" ); document.write( "----------------- \n" ); document.write( "Arthur DATA: \n" ); document.write( "time = 10 hr/job ; rate = 1/10 job/hr \n" ); document.write( "------- \n" ); document.write( "Debra DATA: \n" ); document.write( "time = 15 hr/job ; rate = 1/15 job/hr \n" ); document.write( "-------- \n" ); document.write( "Together DATA: \n" ); document.write( "time = x hr/job ; rate = 1/x job/hr \n" ); document.write( "================== \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/10 + 1/15 = 1/x \n" ); document.write( "--- \n" ); document.write( "Multiply thru by 30x to get: \n" ); document.write( "3x + 2x = 30 \n" ); document.write( "5x = 30 \n" ); document.write( "x = 6 hrs (amt. of time needed for them to do the job together) \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |