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?

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) (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

 or pool/hour.

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

 or pool/hour.

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

 or pool/hour.

The equation comes from:

             +  = 
 
                     +  = 

Solve that by multiplying through by the LCD of 48x 

                    x = 
                               
                    x = 9.6 hours

or 9 hours and 36 minutes.

Edwin

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