document.write( "Question 1039949: John takes 2 hours longer than Andrew to peel 600 pounds
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document.write( "of apples. If together they can peel 600 pounds of apples
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document.write( "in 8 hours, then how long would it take John to peel the
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document.write( "apples working alone? \n" );
document.write( "
Algebra.Com's Answer #654713 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! John takes 2 hours longer than Andrew to peel 600 pounds of apples. If together they can peel 600 pounds of apples in 8 hours, then how long would it take John to peel the apples working alone? \n" ); document.write( "------ \n" ); document.write( "Andrew DATA:: time = x hrs/job ; rate = 1/x job/hr \n" ); document.write( "John DATA: time = x+2 hrs/job ; rate = 1/(x+2) job/hr \n" ); document.write( "------------ \n" ); document.write( "Together DATA:: time = 8 hrs/job ; rate = 1/8 job/hr \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/x + 1/(x+2) = 1/8 \n" ); document.write( "----- \n" ); document.write( "8(x+2) + 8x = x(x+2) \n" ); document.write( "16x + 16 = x^2 + 2x \n" ); document.write( "---- \n" ); document.write( "x^2 - 14x - 16 = 0 \n" ); document.write( "---- \n" ); document.write( "x = 15.06 hrs (time for Andrew alone) \n" ); document.write( "x+2 = 17.06 hrs (time for John alone) \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |