The other main predator that also hunts in this fashion? Wolves/dogs. There's a theory that it was this overlap in hunting styles that made us natural "partners" and led to the close relationship we have today.
[0]: I don't remember my source for this, sorry. But this is interesting for similar reasons: https://en.wikipedia.org/wiki/Man_versus_Horse_Marathon
Edit: I should say, wolves/dogs can run for long distances too, at a slower gait. But they can only out-pace human marathon-distance runners for a few miles before overheating.
Edit 2: Found a source[1]: "Dogs can gallop for only about 10 to 15 minutes before reverting to a trot, and so their distance-running speed tops out at about 3.8 meters per second." As commenters below have pointed out, yes, if it's cold enough, this doesn't matter ;-).
[1]: http://www.slate.com/articles/sports/sports_nut/2012/06/long...