No, a human rides a horse until it dies, then he goes on afoot. A Comanche comes along, gets that horse up, rides him 20 more miles and then he eats him.
14 seconds sound clip from the The Searchers (1956) movie soundboard.
You can hear this line at 00:37:30 in the Blu-ray version of the movie.
Quote context
[...]
- There's just one reason we're here, ain't it?
- They gotta stop sometime. If they're human men at all, they gotta stop!
- Sorry.
- We don't even know if Debbie and Lucy are in this bunch. Maybe they split up.
- They're with 'em, all right. If they're still alive.
[...]