@fana:
I think you're underestimating the distance between Wall Rose and their destination (over 100 km which is the distance between the 2 walls).
Plus, we don't know how long they can keep their titan form (for example the way the colossal titan only appear briefly each time, I doubt Berthold's titan form is reliable for traveling long distances).
as i said,for the colossal titan 100 km are a less greater distance that for a simple human…i don't remember perfect proportions..but it's probably at least 15 times taller than a human,so he covers 15 times more space with a single step..so for him it's less than 10 km,and he can do them while walking,given the time advantage and the fact that he does not need to try to dodge hordes of titans in the meantime.
but i admit that we don't know for how much time they can keep the transformation,even though annie kept kicking ass for a while before running out of energies,so i don't think it is "that" small of a time frame.
also,while we are here talking about plotholes..how exactly annie managed to go from the inner city to wall rose and beyond,two times,without anyone noticing?counting that she surely was in human form in the part of his path inside the walls,and even counting on the fact that she probably had a horse,she was probably away from the city for more than half a day,part of them in daytime.How it's possible that no one noticed her absence?Their superiors didn't really care,but her comrades should have noticed that someone was absent for that long.
--- Update From New Post Merge ---
@Enzeru:
A little vapor is completely normal to appear but the amounts the colossal titan emitted are unique to him so far. It was enough to keep all the opponents at the scene at bay long enough for Ryner and Bertholdt to escape. And given that the latter's been doing it (i.e. being a living torch) the whole time while Ryner was fighting, it's safe to assume that that cost him a lot of energy.
You'd have to re-phrase the other part of your post since I've no idea what you're trying to tell me.
it was an enourmous amount because enormous was the size of the meat that was disappearing.
in the first part (sorry,i'm not english),i just said that the recovery abilities of Annie were THAT broken last time we see her in action.She just rested for like 5 minutes before the two transformations,and while she was fleeing ,she even killed some of the guys that were trying to stop her;so those were not even 5 minutes of FULL rest…but she was still able to recover enough energy to defeat another human-titan