Let's put together some examples of the "speed of plot" phenomenon, what do you say? 
Obviously, ST V comes to mind as a perfect example, so does ST XI (Earth to Vulcan in a matter of hours).
There were also some examples of this in Voyager, like in "Scorpion part1" where Seven demands that Voyager takes her to the nearest Borg vessel which is forty light years away, and Chakotay replies that "even at maximum warp, that's a five day journey." This would mean that at max. warp, Voyager's journey home would take 24 years, not 75 as established in "Caretaker."
Then of course there's ENT's pilot "Broken Bow" in which it is stated that the Klingon home world Qo'noS is four days away from Earth at warp 4.5, which would put it right at Sol system's doorstep...
Enterprise also makes a 15 light year detour to Rygel (distance mentioned on-screen) like it was nothing... 
What other funny examples can you think of?

Obviously, ST V comes to mind as a perfect example, so does ST XI (Earth to Vulcan in a matter of hours).
There were also some examples of this in Voyager, like in "Scorpion part1" where Seven demands that Voyager takes her to the nearest Borg vessel which is forty light years away, and Chakotay replies that "even at maximum warp, that's a five day journey." This would mean that at max. warp, Voyager's journey home would take 24 years, not 75 as established in "Caretaker."
Then of course there's ENT's pilot "Broken Bow" in which it is stated that the Klingon home world Qo'noS is four days away from Earth at warp 4.5, which would put it right at Sol system's doorstep...


What other funny examples can you think of?