Yeah, don't waste time and energy pushing the friend down. Just use your speed advantage to make distance between you and them and let the bear take care of the rest!
When I was a kid my parents took me to Grandfather Mountain one time and the park ranger there was talking about the different types of bears and how it could be difficult to differentiate between a brown bear and a black bear based upon their color alone.
So how do you tell the difference? Well if you run away and the bear chases you, and you climb up a tree and then the bear climbs up the tree after you, grabs you and pulls you down and then eats you, it's a black bear. If when you climb the tree the bear stops at the bottom, starts putting its shoulder to the tree, eventually knocking the tree down and then finds you and eats you, it's a brown bear.
So apparently bear humor goes back aways with the Park Service.