She uses a week.
I mean, we know that Edelgard and Hubert have access to various warp technology when she's acting as the Flame Emperor (traveling to Remire village, etc. in the middle of a mission) so that probably reduces travel time when they're involved. I would say that there could be a network of warp pads, except that the students don't seem to recognize them in the underground chamber mission when they're rescuing Flayn.
That said, we do know that a person using the Warp spell can transport both the target and any battalion equipped to them, so that may actually be a possibility for getting people through difficult terrain.