<PRE><B>Question 978546</B>
a chinese restaurant has a large gold fish pond. suppose that an inlet pipe and a hose together can fill the pond in 7 hours. The inlet pipe alone can complete the job in one hour less time than the hose alone.
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pipe DATA:
time = x-1 hrs/job ; rate = 1/(x-1)job/hr
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hose DATA:
time = x hrs/job ; rate = 1/x job/hr
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together DATA:
time = 7 hrs/job ; rate = 1/7 job/hr
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find the time that the hose can complete the job alone and the time that the inlet pipe can complete the job alone.
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Equation:
rate + rate = together rate
1/(x-1) + 1/x = 1/7
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7x + 7(x-1) = x(x-1)
14x - 7 = x^2-x
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x^2 -15x + 7 = 0
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x = 14.5 hrs (time for hose to do job alone)
x-1 = 13.5 hrs (time for pipe to do job alone)
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Cheers,
Stan H.
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