The word "outrace" describes an act of moving faster than someone or something else. Antonyms for this word include "fall behind," "lag," and "trail," all of which indicate movement at a slower pace. Other antonyms for "outrace" are "lose," "surrender," and "give up," which imply an abandonment of effort or the inability to keep up with the competition. Alternatively, one might use the antonyms "follow," "shadow," or "keep pace" to describe someone moving in tandem with another person or object rather than trying to outdo them. Finally, "match," "equal," and "meet" are also effective antonyms for "outrace" when describing two people or things moving at the same speed or level of success.