Translation of erfolgen

I bought the ticket very quickly and ran to the gate. A stewardess was waiting for me and waved. She shouted that I should hurry up. I ran as fast as I could and entered the gate leading to the plane.
I've been working on and off on the dictionary during the entire week, and I'll spend some more hours on it this coming weekend. Sometimes he would get a bit mixed up and use formal Castilian sometimes instead of informal.
I would be glad if you can tell me more about the United States, of course in German! Maybe we can talk again when you're back at home, what do you think? That would be a good practice, wouldn't it.