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You CAN look at it that way - that you're moving Y into the pump and Y out of the pump (from container A to container B). But if you're saying that then you could also say that it's Y in, Y out, Y out one mm ahead of the pump, Y out 1/2 inch ahead of the pump, etc to infinity until you have total water moved=infinity. But, that's not a useful way to look at it for most of us. Looking at it that way would be useful if you were studying differential equations to calculate water levels in different containers at different times. The way I think people look at it is that a pump moves a stream of water and Y is the flow rate at the single point that intersects the pump. And as far as out of container A and into container B - I think people see container A and B as one volume of water as soon as they are connected by the pump.
Why do I always feel like I've been smoking weed when I talk about math?
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