samursus
Explorer
including the lock becoming jammed, the character giving up, etc.
Take 20, though very straightforward, removes randomness from the mechanics and humanity from the PCs., in my experience.
This discussion has raised some neat questions.
Specifically, I think I will handle Lockpicking as Kobold Stew mentioned. If you fail your check (maybe by 5) the lock jams.
Generally, I don't love Take 20, as it bypasses aspects of the 3 pillars, those involving skill rolls. Assuming one considers skills an important aspect.
As for jumping, climbing etc I think I will handle it on a case by case basis. Having done some rock climbing myself, I know for a fact there are 20' walls that I could not climb no matter how much time I took, unless I had aid of some sort, that others (like my cousin) could do easily.
It all comes down to consequences of failure and to what degree you want player vs environment to be an important aspect to your game.