He booked

When I hear the detectives say "he booked" meaning he has left I always wonder how it go that meaning?

I am not sure if that is the way it is spelled since I have only ever heard it. It is slang meaning to run fast. I used to hear people use it to describe running in football games when I was cheerleader (she mumbled embarrassedly). "Did you see Bozeman? He was bookin'! They didn't stop him until he got to the three [yard line]."