Hello all, I've been thinking about this while I fill up my water cup or when I fill up a bucket from a hose. In the attached images are the two scenarios I present. My question is, which scenario would be faster (meaning in which scenario does the bucket or cup become full in the shortest amount of time), and what physics formulas are related to this phenomenon? My intuition says that if I bring the cup closer to the (constant) water source, it will fill up faster. The same goes for bringing the hose closer to the bottom (although I'd be interested in what suction effects may have that alter the rate of filling up for the hose scenario). Thanks for your time!