SOLUTION: a chinese restaurant has a large gold fish pond. suppose that an inlet pipe and a hose toghether can fill the pond in 7 hours. The inlet pipe alone can complete the job in one hou
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Question 978546: a chinese restaurant has a large gold fish pond. suppose that an inlet pipe and a hose toghether can fill the pond in 7 hours. The inlet pipe alone can complete the job in one hour less time than the hose alone. find the time that the hose can complete the job alone and the time that the inlet pipe can copmplete the job alone.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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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