To run the mile means to are getting drunk. If you are only paritially drunk then maybe you only ran the half mile, or if your tipsy maybe you only ran the quarter mile. but if you run the full mile then you are considered wasted. In order to run the mile you must have running shoes (alcohol). Origin: Two men were drunk on homecoming night and had to get back home, they ended up running about a mile back to their house.
Harry decided to run the mile and ended up on the toilet all night. Mitch decided to run the mile and ended up barfing everywhere.