This is from the chess master app. That's the solution of the puzzle (to win).
It's level 3, puzzle 18
this post was submitted on 29 May 2024
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Wouldn't the other rook be able to take the king no matter what?
Sorry, I didn't say that the black played rock to D1.
If the white goes rock to E1, then the black cannot take the white rock since the white king will take the black rock.
Black should exchange rooks after Re1 because you simplify the game while having a winning position. Every piece exchange generally favors the player that's ahead.
After the exchange Black can play h6 to force 2 of white's pawns onto the H file where they are no threat whatsoever because there is no way for white to guard the queening square, so black can simply plant their king there and indefinitely hold against 2 pawns while their rook bullies the bishop and the king.
My assumption is that white blocks E1, then black moves the other rook up to the 2 line, which blocks the white King from moving down to the 2 line. No other piece can do anything about it, and the king is not close enough to attack if white takes the black rook on the 1 line and is blocked from the 2 line. From there it depends on black trapping the King in a mate. Unless there's not something I'm seeing.
What if rather than moving the rook, black queen moves to D6?