I know the answer.
The rating and average time are based on past member's attempts at the problem.
They are just like game glicko ratings, with the puzzle itself as the "opponent." If you fail the puzzle, the puzzle "wins" and its rating increases (based on your current tactical rating). If you solve the puzzle, you "win" and your rating increases, then the puzzle's rating decreases for the next guy that attempts it.
Anyone know how point calculations in the Chess.com tactics trainer are done? Or perhaps a link that explains them?
I only ask because I just did a problem that took me almost 2 minutes to get the answer to and I still got 97% even though the tim I took was much longer than the average time.
Then the very next tactic was a 1 mover that I got in about 25% of the average time, yet I only got 87%.
This is not a complaint. I like the tactics trainer.