Depends on the moderators, it can take up to a week or several. If it gets that excessive though where it's taking weeks for a run to be verified I'd suggest trying to contact the mod(s) about any runs needing verification.
In my opinion, if it takes up to a week to get a run verified, the board needs more (or other) mods.
We allow for a lot more than a week, purely because sometimes while a board is properly moderated, there can be times where people are busy or just plain unavailable for a week or two.
Maybe they went on holidays with the family, maybe they have to make a work deadline, maybe they have just moved house and are getting their study all connected.
We allow for a good grace period because people do have lives beyond the site, and so long as the boards are maintained and the person is active regularly enough, then it's okay for a run to take a few days sometimes.