document.write( "Question 755495: Can you help me with this problem? Jill and Sarah are mowing a lawn together (with separate mowers). It will take them 2 1/2 hours to complete. If Jill (by herself) can mow the same lawn in 4 hours, how long would it take Sarah to mow the lawn by herself? \n" ); document.write( "
Algebra.Com's Answer #459681 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Jill and Sarah are mowing a lawn together (with separate mowers). It will take them 2 1/2 hours to complete. If Jill (by herself) can mow the same lawn in 4 hours, how long would it take Sarah to mow the lawn by herself? \n" ); document.write( "------ \n" ); document.write( "Together DATA: time = 5/2 hrs/job ; rate = 2/5 job/hr \n" ); document.write( "------- \n" ); document.write( "Jill DATA::::: time = 4 hrs/job ; rate = 1/4 job/hr \n" ); document.write( "------- \n" ); document.write( "Sarah DATA:::: 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/x + 1/4 = 2/5 \n" ); document.write( "------- \n" ); document.write( "Multiply thru by 20x to get: \n" ); document.write( "20 + 5x = 8x \n" ); document.write( "3x = 20 \n" ); document.write( "x = 20/3 = 6 2/3 hrs (time for Sarah to do the job alone) \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " |