SOLUTION: A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minut
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Question 790533: A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take for the third pipe alone to fill the tank? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take for the third pipe alone to fill the tank?
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1st pipe rate: 1/10 job/minute
2nd pipe rate: 1/15 job/minute
3rd pipe rate: 1/x job/min
Together rate: 1/4 job/min
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Equation:
rate + rate + rate = together rate::
1/10 + 1/15 + 1/x = 1/4
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6x + 4x + 60 = 15x
5x = 60
x = 12 minutes (time for the 3rd pipe to fill the tank)
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Cheers,
Stan H.
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