Question 1039949
 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?
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Andrew DATA:: time = x hrs/job ; rate = 1/x job/hr
John DATA: time = x+2 hrs/job ; rate = 1/(x+2) job/hr
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Together DATA:: time = 8 hrs/job ; rate = 1/8 job/hr
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Equation:
rate + rate = together rate
1/x + 1/(x+2) = 1/8
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8(x+2) + 8x = x(x+2)
16x + 16 = x^2 + 2x
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x^2 - 14x - 16 = 0
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x = 15.06 hrs (time for Andrew alone)
x+2 = 17.06 hrs (time for John alone)
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Cheers,
Stan H.
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