I'm not sure if you guys are familiar with this theorem. It is the racetrack principle by Jerry Uhl.
True/false? The racetrack principle can be used to justify the statement that if two horses start a race at the same time, the horse that wins must have been moving faster than the other throughout the race.
The word that gets me is "throughout". I don't know if that means overall as an average, or at every instantaneous moment.