Our ability to estimate the duration of sub-second visual events is prone to distortions, which depend both on sensory and decisional factors. To disambiguate between these two influences, we can look at the alignment between discrimination estimates of duration at the point of subjective equality and confidence estimates when the confidence about decisions is minimal, because observers should be maximally uncertain when two stimuli are perceptually the same. Here, we used this approach to investigate the relationship between the speed of a visual stimulus and its perceived duration. Participants were required to compare two intervals, report which had the longer duration, and then rate their confidence in that judgement. One of the intervals contained a stimulus drifting at a constant speed, whereas the stimulus embedded in the other interval could be stationary, linearly accelerating or decelerating or drifting at the same speed. Discrimination estimates revealed duration compression for the stationary, and, to a lesser degree, for the accelerating and decelerating stimuli. Confidence showed a similar pattern, but, overall, the confidence estimates were more shifted towards higher durations, pointing to a small contribution of decisional processes. A simple observer model, which assumes that both judgements are based on the same sensory information, captured well inter-individual differences in the criterion used to form a confidence judgement.