If you want to go the Joel Spolsky, "managing software teams is psychotherapy" route, then two other questions are

"why do you dread coming to work"

and

"what were you working on that distracted you from the time?"

Being late to (most kinds of) meeting while preventing a production outage, or helping another team, should not just be allowed, it should be respected.

This one I think happens more often than people think. And if you keep sending the message that your meeting is more important than the health of the company, well, eventually you're going to get what you asked for.