I believe that the fastest an average quarter horse can run is about thirty to forty mph at top speed.
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A Quarter Horse is n all American horse. What a Quarter Horse really is, is a horse that can gallop at full speed a quarter of a mile without stopping. I hope this answers your question! [-:
For generations of horses now the American Quarter Horse has been bred for speed and sprinting. This breed has what is known as "quick twitch muscles". This makes for a good sprinter, excellent corner turner, and 'stop on a dime' ability. The quick twitch muscles are different in the way the electricity is fired into the muscle itself. And it is what makes this breed one of the most versitile on earth.
They have an extreme speed for very short distances. Not to mention they are beautiful:)
A Quarter horse is a sprinter and would not be able to sustain anything over a quarter of a mile distance at a gallop, they do not have endurance along with their speed, though they can work long hours at the walk and trot.Within a ten hour period a Quarter horse would only cover one or maybe two quarter mile distances.
Contact or ask the American Quarter Horse Association (AQHA) about their speed index chart. It is issued annually so the one you find may not be the most recent one.