This one I'm having trouble deciding how I want to handle. The PHB version costs 1gp per day and 250 days (so 250gp) to learn a tool or language. The UA playtest, costs 100gp per workweek, and "at least" 10 workweeks, reduced by 1 workweek per positive intelligence modifier (so really, "at most" 10 workweeks, not "at least"). so only 50 days, but 1000gp.
A fifth the time, but four-times the cost.
Meanwhile, I've made you roll checks, which neither of those required, and you did quite well. Also, I rarely see anyone use proficiency in nearly any tool (other than thieve's tools, obviously), but then again, I've revealed that I'm inclined to make tools much, much better than they are by the strict rules.
...so I have no idea how I want to handle this.
And... I've just been told to go to bed, so I will think on it and get back to you.