algebraic word problems

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porgy

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Oct 6, 2008
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I can't figure out how to solve this word problem.

A tank can be filled by one pipe in four hours and by a second pipe in six hours, and when it is full, the tank can be drained by a third pipe in three hours. If the tank is empty and all three pipes are open, in how many hours will the tank be filled?
 
porgy said:
I can't figure out how to solve this word problem.

A tank can be filled by one pipe in four hours and by a second pipe in six hours, and when it is full, the tank can be drained by a third pipe in three hours. If the tank is empty and all three pipes are open, in how many hours will the tank be filled?
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First figure out what is the question asking for.

how many hours will the tank be filled?

So now name the variable asked for

Hours to fill the tank = t

So

In one hour fraction of the tank gets filled = ??

Now use

fraction coming in - fraction going out = fraction filled in

Please show us your work, indicating exactly where you are stuck, so that we know where to begin to help you.
 
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