SOLUTION: If one pump can fill a pool in 16 hours and if two pumps can fill the pool in 6 hours, how fast can the second pump fill the pool?

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Question 668700: If one pump can fill a pool in 16 hours and if two pumps can fill the pool in 6 hours, how fast can the second pump fill the pool?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
If one pump can fill a pool in 16 hours and if two
pumps can fill the pool in 6 hours, how fast can the
second pump fill the pool?
The filling rate of the first pump is 1 pool per 16 hours, or

%281_pool%29%2F%2816_hours%29 or 1%2F16pool/hour.

The filling rate of the second pump is 1 pool per x hours, or

%281_pool%29%2F%28x_hours%29 or 1%2Fxpool/hour.

Their combined filling rate of both pumps is 1 pool per 6 hours, or

%281_pool%29%2F%286_hours%29 or 1%2F6pool/hour.

The equation comes from:

            %28matrix%285%2C1%2C%0D%0A%0D%0AFilling%2C+rate%2C+of%2C+first%2C+pump%29%29 + %28matrix%285%2C1%2C%0D%0A%0D%0AFilling%2C+rate%2C+of%2C+second%2C+pump%29%29 = %28matrix%286%2C1%2C%0D%0A%0D%0ACombined%2C+filling%2C+rate%2C+of%2C+both%2C+pump%29%29
 
                    1%2F16 + 1%2Fx = 1%2F6

Solve that by multiplying through by the LCD of 48x 

                    x = 48%2F5
                               
                    x = 9.6 hours

or 9 hours and 36 minutes.

Edwin