SOLUTION: Pipe A can fill a tank in 4 hrs. If pipe B works alone, it takes 3 hrs longer to fill the tank than if both pipes work together. How long will it take for pipe B to fill the tank i

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Question 318747: Pipe A can fill a tank in 4 hrs. If pipe B works alone, it takes 3 hrs longer to fill the tank than if both pipes work together. How long will it take for pipe B to fill the tank if it works alone?

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Rate*Time=Output
where Z is the tank volume.



1.
.
.
.
2.
Substitute into eq. 2,


Multiply both sides by




Use the quadratic equation,




Only the positive result makes sense here.

It takes Pipe B to fill the tank,

or approximately,
hours

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