Try turning the question around:  How do other people usually get where they need to go on time?  What steps do they take to avoid being late?  First, they check the clock every so often, particularly when they know there's a deadline approaching.  They estimate how much time they'll need to get wherever they're going and thus what time they'll need to leave where they are.  They pause to figure out how long it will take to finish what they're currently doing and get ready for whatever is coming next.  And then they adjust their behavior accordingly

I suspect that those who chronically show up late don't do these things.  Perhaps they have a tendency to lose themselves in whatever they're currently doing and don't discover what time it is until it's too late.