The average domestic cat can run at a speed of around 30 mph. Egyptian Maus are reportedly the fastest breed of domestic cat, capable of reaching 36 mph. For comparison, a thoroughbred racehorse can maintain a speed of 45 mph for more than amile. The fastest racing greyhounds run at speeds of just under 42 mph for about a third of a mile. Cats are not marathon runners, or even middle-distance runners; they're sprinters. While you could never outrun a dog over distances, you could beat a cat, as they quickly overheat when running and have to stop after just 30 to 60 seconds to rest and cool down.