SOLUTION: Two water pipes can fill a tank with water in 6 hours. The larger pipe working alone can fill the tank in 9 hours. How long will it take the smaller pipe working alone to fill th
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Question 224168: Two water pipes can fill a tank with water in 6 hours. The larger pipe working alone can fill the tank in 9 hours. How long will it take the smaller pipe working alone to fill the tank? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Two water pipes can fill a tank with water in 6 hours. The larger pipe working alone can fill the tank in 9 hours. How long will it take the smaller pipe working alone to fill the tank?
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Together DATA:
time = 6 hrs/job ; rate = 1/6 job/hr
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Larger pipe DATA:
time = 9 hrs/job ; rate = 1/9 job/hr
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Smaller pipe DATA:
time = x hrs/job ; rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/x + 1/9 = 1/6
Multiply thru by 54x to get:
54 + 6x = 9x
3x = 54
x = 18 hrs (time for the smaller pipe to do the job)
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Cheers,
Stan H.
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