# Applied physics to “fill the jar” problem [closed]

I think that the most of you are familiar with similar kind of problems / riddles:

I always said that it depends upon the velocity with which the fluid comes out from the faucet. It doesn't seem wrong to me: if a great amount of water comes out, jar number 1 will be filled almost immediately. If instead it comes out slowly, then it will probably be $3$).

Question: am I right in supposing that? I mean it depends on the velocity, right? (And yes, on the area of the faucet, and probably on the density / viscosity of the fluid too).

Is there a mathematical way to solve problems like this, besides just looking at the drawing?