SOLUTION: Two pumps can fill a water tank in 60 minutes when working together. Alone, the second pump takes 9 times longer than the first to fill the tank. How long does it take the first pu

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Two pumps can fill a water tank in 60 minutes when working together. Alone, the second pump takes 9 times longer than the first to fill the tank. How long does it take the first pu      Log On


   

Question 1104400: Two pumps can fill a water tank in 60 minutes when working together. Alone, the second pump takes 9 times longer than the first to fill the tank. How long does it take the first pump alone to fill the tank?
Found 2 solutions by josgarithmetic, jorel1380:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
First pump, 1%2Fx tank per minutes
Second pump, 9%2Fx tanks per minutes
Both pumps together, 1%2F60 tank per minutes

1%2F60=1%2Fx%2B9%2Fx
Solve this for x.

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the time it takes for the first pump alone. Then, the second pipe would be 9n. So:
1/n+1/9n=1/60
180+20=3n
n=200/3 minutes for the first pump working alone
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