Galloped (5)
'galloped' is the definition.
(I've seen this in other clues)
This is all the clue.
(Other definitions for ran that I've seen before include "Operated; hurried" , "11 on foot" , "Took to one's heels" , "Tore" , "Went fast" .)
(Other definitions for raced that I've seen before include "Cedar (anag)" , "Went fast" , "went at speed" , "Took part in speed contest" , "Competed" .)