SOLUTION: One pump can fill a gasoline tank in 9 hours. With a second pump working simutaneously the tank can be filled in 5 hours. How long would it take the second pump to fill the tank op

Question 292118: One pump can fill a gasoline tank in 9 hours. With a second pump working simutaneously the tank can be filled in 5 hours. How long would it take the second pump to fill the tank operating alone?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One pump can fill a gasoline tank in 9 hours.
With a second pump working simutaneously the tank can be filled in 5 hours.
How long would it take the second pump to fill the tank operating alone?
:
Let x = 2nd pump time working alone
:
Let the completed job (full tank) = 1
:
A typical shared work equation
+ = 1
multiply equation by 9x, results
5x + 9(5) = 9x
:
5x + 45 = 9x
:
45 = 9x - 5x
:
45 = 4x
x =
x = 11.25 hrs, 2nd pump by itself
:
:
Check solution
+ =
.56 + .44 = 1

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