SOLUTION: Pipe M can fill a tank in 36 hours, and pipe N can fill it in a certain time. If both pipes are opened simultaneously, the tank gets filled in 24 hours. Find the time it takes pipe

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Pipe M can fill a tank in 36 hours, and pipe N can fill it in a certain time. If both pipes are opened simultaneously, the tank gets filled in 24 hours. Find the time it takes pipe      Log On


   



Question 488920: Pipe M can fill a tank in 36 hours, and pipe N can fill it in a certain time. If both pipes are opened simultaneously, the tank gets filled in 24 hours. Find the time it takes pipe N alone to fill the tank.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Pipe M can fill a tank in 36 hours, and pipe N can fill it in a certain time. If both pipes are opened simultaneously, the tank gets filled in 24 hours. Find the time it takes pipe N alone to fill the tank.
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Pipe M rate: 1/36 job/hr
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Pipe N rate: 1/x job/hr
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Together rate: 1/24 job/hr
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Equation:
rate + rate = together rate
1/36 + 1/x = 1/24
24x + (24*36) = 36x
12x = (24*36)
x = 72 hrs (time for Pipe N to fill the tank alone)
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Cheers,
Stan H.