Well, the horse can travel for 30 miles a day. This is the average distance of an ordinary horse, but the fit horse can quickly move more than 30 miles. The horses used by mounted soldiers can even travel for more than 50 miles per day. The horse can cover 3-4 miles per hour, while some can move for 2 miles per hour. The typical horse can walk comfortably for 8 hours on the go. The horses can run for 30 miles without getting a break. The things that can slow down the travelling of a horse are a heavy load, broken road, or the weather.