The superfast Earth-to-Vulcan ride in XI.
So you wanted them to show the entire several hour journey?
I think we're supposed to assume that it had been several hours before Chekov's message was delivered
I must have shown it a hundred times already. The way the scene is edited, there can't be a timespan in between. Sulu reports they have reached maximum warp, and in the
very same scene, Chekov makes the announcement.
Unless the acceleration to maximum warp takes several hours, the journey to Vulcan as seen in this movie takes 5 minutes. One of several cases in the movie where the writer's/director's intention wasn't properly executed. We are supposed to assume that it takes several hours (that's the intention), but the editing doesn't support this (that's the execution).
Had Sulu reported maximum warp before they cut to McCoy and Kirk walking into sickbay, or had they removed Sulu's report altogether, then it would have been right.