Zeno's paradox is resolved simply by saying that we can cover this space in this of time. It's silent on whether or not space is infinitely divisible. Zeno's paradox is about the domain of pure mathematics, but we don't live in a world of pure mathematics. If the physics says that we can transverse an infinite number of points in a finite amount of time then that's what we'll do. But your sink, we just don't know, yes, sir.