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Question 1003649: Two Pipes are connected to the same tank. When working together, they can fill the tank in 12 hours. The larger pipe, working along, can fill the tank in 18 hours less than the smaller one. How long would the smaller one take, working alone, to fill the tank?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two Pipes are connected to the same tank. When working together, they can fill the tank in 12 hours. The larger pipe, working along, can fill the tank in 18 hours less than the smaller one. How long would the smaller one take, working alone, to fill the tank?
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Together rate:: 1/12 job/hr
Smaller pipe rate:: 1/x job/hr
Larger pipe rate:: 1/(x-18) job/hr
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Equation:
rate + rate = together rate
1/x + 1/(x-18) = 1/12
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12(x-18) + 12x = x(x-18)
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24x - 216 = x^2 - 18x
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x^2 - 42x + 216 = 0
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(x-6)(x-36) = 0
Acceptable answer::
x = 36 hr (time for the smaller pipe to do the job)
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Cheers,
Stan H.
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