@rowyn @_HilaryD_ @ClaireCopperman @roclaverton @robinhouston @copiesofcopies good point -- the connotation of hasty/sloppy completion due to running out of time makes a lot of sense. Maybe this is in part how some see the train analogy, like diving in through the door while it's closing.
Speaking of, I'm not sure about in the US, but here we might treat things like departure schedules a bit more lazily.
A few years ago I was waiting for a DART train here in Dublin, but was looking at my phone and didn't notice it arriving, passengers getting on, and the doors closing. I looked up as it started to leave and raised my arms in a "oh wtf" gesture. The driver stopped the train, laughed at me and opened the doors again so I could get on... I figured that it might be an unlikely situation outside Ireland.