document.write( "Question 1039949: John takes 2 hours longer than Andrew to peel 600 pounds
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Algebra.Com's Answer #654718 by Edwin McCravy(20060)\"\" \"About 
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John takes 2 hours longer than Andrew to peel 600 pounds
\n" ); document.write( "of apples. If together they can peel 600 pounds of apples
\n" ); document.write( "in 8 hours, then how long would it take John to peel the
\n" ); document.write( "apples working alone?
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document.write( "For simplicity, we will re-label the peeling of 600 pounds \r\n" );
document.write( "of apples as \"1 job\".  Then the problem is stated:\r\n" );
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\n" ); document.write( "John takes 2 hours longer than Andrew to do 1 job. If
\n" ); document.write( "together they can do 1 job in 8 hours, then how long would
\n" ); document.write( "it take John to do 1 job working alone?
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document.write( "From that we can make this chart, letting Andrew's time for\r\n" );
document.write( "1 job be x hours, and John's time to be x+2 hours.\r\n" );
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document.write( "                      | Jobs done |  rate in jobs/hr | time in hrs      \r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "John working alone    |     1     |                  |    x+2\r\n" );
document.write( "Andrew working alone  |     1     |                  |     x\r\n" );
document.write( "Both working together |     1     |                  |     8\r\n" );
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document.write( "Then we fill in the rate in jobs/hr, by dividing jobs by time in hours:\r\n" );
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document.write( "                      | Jobs done |  rate in jobs/hr | time in hrs      \r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "John working alone    |     1     |     1/(x+2)      |    x+2\r\n" );
document.write( "Andrew working alone  |     1     |       1/x        |     x\r\n" );
document.write( "Both working together |     1     |       1/8        |     8\r\n" );
document.write( "\r\n" );
document.write( "\"%28matrix%284%2C1%2C%0D%0A%22John%27s%22%2C+rate%2C+in%2C+%22jobs%2Fhour%22%29%29\"\"%22%22%2B%22%22\"\"%28matrix%284%2C1%2C%0D%0A%22Andrew%27s%22%2C+rate%2C+in%2C+%22jobs%2Fhour%22%29%29\"\"%22%22=%22%22\"\"%28matrix%285%2C1%2C%0D%0ATheir%2C+combined%2Crate%2C+in%2C+%22jobs%2Fhour%22%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"1%2F%28x%2B2%29\"\"%22%22%2B%22%22\"\"1%2Fx\"\"%22%22=%22%22\"\"1%2F8\"\r\n" );
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document.write( "Multiplying through by the LCD gives:\r\n" );
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document.write( "\"x%5E2-14x-16+=+0\"\r\n" );
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document.write( "Solve that for x, which is Andrew's time, then add 2 to find John's time.\r\n" );
document.write( "You'll have to use the quadratic formula.  You get \"7+%2B-+sqrt%2865%29\".\r\n" );
document.write( "Discard the negative answer and the positive answer is about 15.06 hours.\r\n" );
document.write( "So Andrew's time is about 15.06 hours and John's time is 2 hours longer\r\n" );
document.write( "or \"9+%2B+sqrt%2865%29\" or about 17.06 hours. \r\n" );
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document.write( "Edwin
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