Four experiments were conducted to compare the effects of redundant stimuli on temporal order judgments (TOJs) and reaction times (RTs). In Experiments 1 and 2 participants were presented in each trial with a tone and with one or two visual stimuli. They were asked to judge whether the tone or the visual display was presented first. Judgments of the relative onset times of the visual and auditory stimuli were virtually unaffected by the presentation of redundant rather than single visual stimuli. Experiments 3 and 4 used simple RT tasks with the same stimuli, and responses were much faster to redundant than to single visual stimuli. It appears that the traditional speed-up of RT associated with redundant visual stimuli arises after the stimulus detection processes to which TOJs are sensitive.