document.write( "Question 81310: Katrina can mow the lawn in 2 hours. It takes her brother 3 hours to mow the lawn. When they borrow a neighbor's lawn mower and work together, how long does it take them to mow the lawn? \n" ); document.write( "
Algebra.Com's Answer #58259 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Katrina can mow the lawn in 2 hours. It takes her brother 3 hours to mow the lawn. When they borrow a neighbor's lawn mower and work together, how long does it take them to mow the lawn? \n" ); document.write( "----------- \n" ); document.write( "Katrina DATA: \n" ); document.write( "Time to mow the lawn = 2 hrs/job ; Rate = 1/2 job/hr \n" ); document.write( "-------- \n" ); document.write( "Brother DATA: \n" ); document.write( "Time to mow the lawn = 3 hrs/job ; Rate = 1/3 job/hr \n" ); document.write( "------------- \n" ); document.write( "Together DATA: \n" ); document.write( "Time to mow the lawn = x hrs/job ; Rate = 1/x job/hr \n" ); document.write( "================ \n" ); document.write( "EQUATION: \n" ); document.write( "rate + rate = rate together \n" ); document.write( "1/2 + 1/3 = 1/x \n" ); document.write( "3x+2x = 6 \n" ); document.write( "5x=6 \n" ); document.write( "x=6/5 of an hour or 1 hr and 12 minutes \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |