document.write( "Question 50228: With a power mower, Phil can cut a large lawn in 3 hours. His younger brother can cut the same lawn in 6 hours. If they both work together using two power mowers, how long would it take them to cut the lawn? \n" ); document.write( "
Algebra.Com's Answer #33366 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Phil can cut a large lawn in 3 hours. His younger brother can cut the same lawn in 6 hours. If they both work together using two power mowers, how long would it take them to cut the lawn? \n" ); document.write( "-------------------------------- \n" ); document.write( "Phil DATA: \n" ); document.write( "time = 3 hr/job ; rate= 1/3 job/hr\r \n" ); document.write( "\n" ); document.write( "Brother DATA: \n" ); document.write( "time = 6 hr/job ; rate = 1/6 job/hr\r \n" ); document.write( "\n" ); document.write( "Together DATA: \n" ); document.write( "time = x hr/job ; rate = 1/x job/ hr.\r \n" ); document.write( "\n" ); document.write( "EQUATION: \n" ); document.write( "Phil rate + Brother rate = rate together \n" ); document.write( "1/3 + 1/6 = 1/x \n" ); document.write( "Multiply thru by 6x to get: \n" ); document.write( "2x + 3x = 6 \n" ); document.write( "5x = 6 \n" ); document.write( " x= 6/5 hours to do the job together \n" ); document.write( "6/5 hrs = 72 minutes or 1 hr 12 minutes. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |