Very few people seem to have a logical mind these days, they just see a horse's top speed and a human's top speed and then compare. That's a very shoddy way of thinking.
No one in this thread has made the comparison you suggest, so either (1) you can't/don't read well, or (2) you can't think logically yourself, LOL.
A jogging person cannot keep up with a trotting horse over even a short distance, let alone over a period of hours.A human jogging is moving at under 6 mph, while a horse in a slow trot is going 8 mph or faster. Horses cover considerable distances and vary their pace. Humans have fewer pace options, and all of them are more tiring to a human than long-distance travel is for a horse.
A very fit person can cover 25-35 miles per day, but a horse can cover twice that distance (in both cases, this assumes relatively even terrain). For hilly terrain, both horses and humans move much slower. In both cases, however, horses cover more ground than humans with less effort and shorter rest periods.
Competitive trail riders regularly do 40 miles in a day; a human could not keep up with that pace.
There are always exceptions: one UK runner (a genetic and physiological outlier, apparently) can exceed all normal limits (interesting article here:
http://www.theguardian.com/lifeandstyle/the-running-blog/2013/aug/30/d ean-karnazes-man-run-forever)
and there is a regular human-versus-horse short marathon that is run in Wales every year which has occasionally been won by a human.
But, the idea that a whole villageful of men on foot, including a child, could outrun men on horseback doesn't stand up to any serious scrutiny. It calls for "willing suspension of disbelief" as is often the case in the movies. In this film, of course, the time element isn't well thought out in several other examples. Esca's trip to round up the legionaries and back appears to take a matter of hours, while in fact it would have required days.
We are supposed to bleep over these minor details.
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