We study the transit time (T.T) of triple events where the first two coronal mass ejections (CME) are associated with solar energetic particle events (SEP), while the third one is not. Our study focuses on the propagation of these CMEs and their associated shocks to estimate the best acceleration equation for T.T calculations and to determine the minimum error of the T.T of the CMEs. Using different models, we estimated the T.T of very high-speed CMEs and compared them with the empirical shock arrival model (ESA). Our results show that the acceleration cessation distance (ACD) in the ESA model yields the lowest possible T.T errors for the first event (0.7–0.5 AU) compared to other equations, and a distance of 0.7 AU for the second event. We also reveal minimum errors for the third event with a distance of 0.6 AU. In conclusion, these events exhibit different responses to the models used, even when they have very high speeds.