It's been years since I rode longer than 20mi on one ride. (Old injuries.)
Generally, a 10-15mi ride will involve a handful of stops at traffic signs. Aside from that, I might stop for a brief rest once, though often not.
Used to do a 40mi ride, to and from a spot where I'd be swimming for a couple of hours. Was a 20mi ride each direction, with no rest stops and only occasional stops for traffic signs. Didn't need rest stops, back then, for rides as short as 20mi.
Once did a 65mi (round-trip, out-and-back route) ride with a solid amateur competitive cyclist buddy of mine. We stopped for a 30min refuel and breather mid-way, before returning along the same route. Averaged 25mph on the ride. Other than a handful of stops for traffic signs, there were no stops for each of those two ~32mi legs. At that speed, I only needed two days of recovery following the ride, due to the aches and pains of pushing that hard to keep up with the guy. But didn't need any rest stops during the route, except the one mid-way before turning back.