Lichess Puzzle 82753: Can white win with a queen and two pawns vs. rook and four pawns? Lichess puzzle 82753 involves a rook and pawn endgame where white sacrifices their rook to queen a pawn. The final position is the following (with black to move):

[FEN "2Q5/6p1/1K3pkp/8/8/4p3/r5PP/8 b - - 0 44"]


I'm not convinced white can win from here; it looks like black can swap off one pair of pawns, then set up a fortress. This seems to hold on against Lichess’s version of Stockfish, but I don't think it looks especially deep. Maybe there's a winning strategy for white, though, that it didn't find.

Question: Can white win with a queen and two pawns vs. rook and four pawns?
It looks very difficult for white to prevent the fortress.

The obvious sequence is something like -

[FEN "2Q5/6p1/1K3pkp/8/8/4p3/r5PP/8 b - - 0 1"]


1. ... Rb2+ (to kick the king one square further from the action) 2. Ka5 Rxg2 3. Qe8+ Kh7 4. Qe4+ Rg6 5. h4 h5 and black has 3 extra pawns, albeit the e3 pawn is likely to fall soon

If 5. Qf5 then 5... h5 anyway when 6. Qxh5 Rh6 leaves white struggling to save the h pawn.