A hurry puddle is the result of a man not taking the time to shake, wipe or air dry his penis after urination, thereby causing a telltale moisture spot upon the front of his trousers. Usually aligned to the natural orientation of said penis, a hurry puddle is generally more visible on grey and khaki pants.
"Dude, wtf is on Brett's crotch?"
"The old geezer forgot to shake and got a hurry puddle. Go tell him to cover it with his iPad."