Talking about quick just earned my 20 puzzle rush achievement even 30 seems quite hard It seem really steep when we talk about anything above 40 puzzles or more.
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Today (April 3 2019) Hikaru repeated his puzzle rush record:
https://www.chess.com/puzzles/rush/hikaru/2twziA
He successfully solved 55 problems which contain 151 moves in total:
5 problems with 1 move {1,2,4,10,11}
29 problems with 2 moves {3,5,6,7,9,12,13,14,15,16,17,19,20,21,22,23,24,26,27,31,34,36,38,40,41,44,48,51,55}
12 problems with 3 moves {8,18,25,28,29,30,32,35,37,42,46,52,}
2 problems with 4 moves {33,47}
2 problems with 5 moves {45 53}
2 problems with 6 moves {39 49}
2 problems with 7 moves {43 54}
1 problem with 8 moves {50}
So he spent on average ~2 sec per move. Amazing!