SOLUTION: Pump 1 can empty a tank in 4 hours while Pump 2 can empty the same tank in 3 hours. How long would it take to empty the tank if both pumps worked together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Pump 1 can empty a tank in 4 hours while Pump 2 can empty the same tank in 3 hours. How long would it take to empty the tank if both pumps worked together?      Log On


   



Question 388849: Pump 1 can empty a tank in 4 hours while Pump 2 can empty the same tank in 3 hours. How long would it take to empty the tank if both pumps worked together?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Pump 1 can empty a tank in 4 hours while Pump 2 can empty the same tank in 3 hours. How long would it take to empty the tank if both pumps worked together?
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Pump 1 rate: 1/4 job/hr
Pump 2 rate: 1/3 job/hr
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Together rate: 1/x job/hr
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Equation:
rate + rate = together rate
1/4 + 1/3 = 1/x
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3x + 4x = 12
7x = 12
x = 1.714 hrs = 1 hr and 43 minutes
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Cheers,
stan H.