document.write( "Question 136412: Please help me solve this word problem:\r
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document.write( "Garrett and Chris have a summer job washing cars at a car dealership. Chris can get the cars washed 3 hours quicker than Garrett can. Together, they can wash the cars in 5 hours. How long would it take Chris to do it alone? (Round your answer to the nearest tenth of an hour). \n" );
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Algebra.Com's Answer #99916 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Chris can get the cars washed 3 hours quicker than Garrett can. Together, they can wash the cars in 5 hours. How long would it take Chris to do it alone? (Round your answer to the nearest tenth of an hour). \n" ); document.write( "--------------------------------------- \n" ); document.write( "Chris DATA: \n" ); document.write( "Time = x hrs/job ; Rate = 1/x job/hrs \n" ); document.write( "-------------------- \n" ); document.write( "Garrett DATA: \n" ); document.write( "Time = (x+3) hrs/job ; Rate = 1/(x+3) job/hrs \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( "EQUATION: \n" ); document.write( "rate + rate = tothether rate \n" ); document.write( "1/x + 1/(x+3) = 1/5 \n" ); document.write( "5(x+3) + 5x = x(x+3) \n" ); document.write( "10x+15 = x^2+3x \n" ); document.write( "x^2-7x-15 = 0 \n" ); document.write( "x= [7 +- sqrt(49 -4*-15)]/2 \n" ); document.write( "x = [7 +- sqrt(109)]/2 \n" ); document.write( "----------- \n" ); document.write( "This answer is irrational so time canonly be approximated: \n" ); document.write( "x = 8.72.... hrs (Chris's time to do the job) \n" ); document.write( "x+3 = 11.72... hrs (Garrett's time to do the job) \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |