document.write( "Question 183958: Bill attaches one bundle of shingles in an average of x minutes using a hammer, whereas Julio attaches one bundle in 6 min less time using a pneumatic stapler.\r
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document.write( "a)Write a rational function B(x) that gives the number of bundles that they attached while working together for 10 hours.\r
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document.write( "b) Find B(30)
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Algebra.Com's Answer #137998 by stanbon(75887) ![]() You can put this solution on YOUR website! Bill attaches one bundle of shingles in an average of x minutes using a hammer, whereas Julio attaches one bundle in 6 min less time using a pneumatic stapler \n" ); document.write( "----------------------- \n" ); document.write( "Bill DATA: \n" ); document.write( "time = x minutes/job ; rate = 1/x job/min \n" ); document.write( "--------------------------------------------- \n" ); document.write( "Julio DATA: \n" ); document.write( "time = x-6 minutes/job ; rate = 1/(x-6) job/min \n" ); document.write( "--------------------------------------------- \n" ); document.write( "a)Write a rational function B(x) that gives the number of bundles that they attached while working together for 10 hours. \n" ); document.write( "Equation: \n" ); document.write( "# = time*rate \n" ); document.write( "B(x) = 10(rate + rate) \n" ); document.write( "B(x) = 10(1/x + 1/(x-6)) \n" ); document.write( "B(x) = 10(2x-6)/(x^2-6x) \n" ); document.write( "------------------------------ \n" ); document.write( "b) Find B(30) = 10(60-6)/(900-180) = 10*54/720 = 0.75 or 3/4 \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------------------------- \n" ); document.write( " |