user2785: 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?

user4393: I think it's a draw. Don't have an access to an engine right now though
1... Rxg2 2. Qe8+ Kf5 
if 3.Qxe3 Rxh2 I don't see a way to win black's rook immediately. Even if black can't capture the h2 pawn it doesn't seem that difficult for him to regroup and set up a fortress.
3. Qh5+ Rg5 leads to an immediate draw.
Missed that after Kh7 black can block Qe4+ with Rg6 as given by Brian. That variation is completely drawn.

user4418: 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 (5. Qf5 h5 {if Qf5 then h5 anyway} 6. Qxh5 Rh6 {when Qxh5 it leaves white struggling to save the h pawn}) h5 {and black has 3 extra pawns, albeit the e3 pawn is likely to fall soon}


2785: <p>Lichess puzzle <a href="https://lichess.org/training/82753" rel="nofollow noreferrer">82753</a> 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):</p>

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

<p>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.</p>

<p><em>Question</em>: Can white win with a queen and two pawns vs. rook and four pawns?</p>
 4393: <p>I think it's a draw. Don't have an access to an engine right now though
1... Rxg2 2. Qe8+ Kf5 
if 3.Qxe3 Rxh2 I don't see a way to win black's rook immediately. Even if black can't capture the h2 pawn it doesn't seem that difficult for him to regroup and set up a fortress.
3. Qh5+ Rg5 leads to an immediate draw.</p>

<p>Missed that after Kh7 black can block Qe4+ with Rg6 as given by Brian. That variation is completely drawn.</p>
 4418: <p>It looks very difficult for white to prevent the fortress.</p>
<p>The obvious sequence is something like -</p>
<pre><code>[FEN &quot;2Q5/6p1/1K3pkp/8/8/4p3/r5PP/8 b - - 0 1&quot;]

1... Rb2+ {to kick the king one square further from the action} 2. Ka5 Rxg2 3. Qe8+ Kh7 4. Qe4+ Rg6 5. h4 (5. Qf5 h5 {if Qf5 then h5 anyway} 6. Qxh5 Rh6 {when Qxh5 it leaves white struggling to save the h pawn}) h5 {and black has 3 extra pawns, albeit the e3 pawn is likely to fall soon}
</code></pre>
