SOLUTION: A pump can fill a tank in 6 hours. Another pump can fill the same tank in 3 hours. How much time will it take to fill the tank if both pumps work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A pump can fill a tank in 6 hours. Another pump can fill the same tank in 3 hours. How much time will it take to fill the tank if both pumps work together?      Log On


   



Question 558899: A pump can fill a tank in 6 hours. Another pump can fill the same tank in 3 hours. How much time will it
take to fill the tank if both pumps work together?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A pump can fill a tank in 6 hours. Another pump can fill the same tank in 3 hours. How much time will it
take to fill the tank if both pumps work together?
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1st pump rate = 1/6 tank/hr
2nd pump rate = 1/3 tank/hr
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Together rate = 1/x tank/hr
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Equation:
rate + rate = together rate
1/6 + 1/3 = 1/x
Multiply thru by 6x to get:
x + 2x = 6
3x = 6
x = 2 hrs (time for both working together to fill the tank)
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Cheers,
Stan H.
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