Tracking relative motion at 60 mph isn't really an exotic skill. A good Little League pitcher can throw a baseball 60 mph, and dodging rocks thrown by children seems like a low bar for survival. I imagine spears can travel that fast. The tip of a club could reach that speed, and arrows travel much faster. A cheetah can travel faster than 60 mph, and while cheetahs are a special case, there are many animals that can run faster than 40 mph, and it isn't necessarily fundamentally different for faculties that evolved for 45 mph to work at 60 mph. As for reaction times, the quickness required to dodge a punch, or the hooves of an elk kicking while it is being taken down, is more than adequate to drive at 60 mph. Even so, we find it unsafe to drive 60 mph except in an environment that has been engineered to be especially undemanding on our reaction times.