SOLUTION: One pipe can fill a tank in 36 minutes, a second can fill it in 9 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating tog

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: One pipe can fill a tank in 36 minutes, a second can fill it in 9 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating tog      Log On

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Question 620087: One pipe can fill a tank in 36 minutes, a second can fill it in 9 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating together, take to fill it?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One pipe can fill a tank in 36 minutes, a second can fill it in 9 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating together, take to fill it?
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The rates are 1/36 ; 1/9 ; 1/12
Together rate is 1/x
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Equation:
(1/36) + (1/9) + (1/12) = 1/x
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Multiply thru by 36x to get:
x + 4x + 3x = 36
8x = 36
x = 4.5 minutes (time to do the job together)
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Cheers,
Stan H.