Answers 0 How far and fast a horse runs in one day really depends on the condition and breed of horse, as well as the terrain and weather conditions.That being said it is possible for some horses to travel as far as 60 miles or more in a day, but a more average distance is around 20-30 miles a day.ource(s): http://www.ultimatehorsesite.com/info/farandfast.h... Mar 2nd, 2011 at 3:51 AM Reply. ginefer 0 20 to 30 mph the top speed is 40 mph. Answers. How far and fast a horse runs in one day really depends on the condition and breed of horse, as well as the terrain and weather conditions.