FINALLY
40: 1'21:37
This took so long because... well, of how my mind works in solving these things. Can't explain it better without giving anything away on it. Absolutely brilliant puzzle. My favorite in the set. I mean, you had me going off on so many paths and it was just... THERE. And it makes perfect sense, looking back.
Overall, my three favorites in order were 40, 27, and 36. As expected, my favorite two were the last two I got, heh.
Now, back on 37's intended answer.