Horses aren't that much faster than walking. Horses can go about 30 miles/day. (That's the reason the Spanish mission towns in the US west were spaced about 30 miles apart.)
That's also about what people can walk in a day (Appalachian Trail through-hikers do about 3 miles per hour).
Now, trained trail horses can go far further in a day, but they require specialized training, food, and care, making them a very expensive plow-horse or cart-horse.
That's also about what people can walk in a day (Appalachian Trail through-hikers do about 3 miles per hour).
Now, trained trail horses can go far further in a day, but they require specialized training, food, and care, making them a very expensive plow-horse or cart-horse.