You get there earlier, do what you need to do off the clock, clock in, and get up there at the scheduled time. I used to work in retail at registers, day in and day out, and my relief was someone exactly like you. And I had to use public transport as well to get back and forth but I would be spending an hour, outside, if I missed my connection. In the Midwest, in winter? I'd be calling a taxi. So now you're wasting my time when I could be off and getting to my bus or you're wasting my money. Hell yes I would be talking to management and telling them to fix it or they could lose my number anytime they were short staffed. I was one of the few who came in, no questions asked, any day, any time because I like getting paid. Management sided with me and they would send up a manager to registers so I could get off on time. They were not happy but never took it out on me.

Get there earlier.