Queen v rook is usually winning for the queen but obviously not invariably. About 80% according to Syzygy. Also longest White mate is actually 35 moves e.g.
White to play mates in 35
Q vs R: Win or Draw?
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In a recent game, it came down to King, Rook, and 1 Pawn for each player, with both pawns racing to Queen. It ended in a draw after we each traded our Rooks for the other's fresh Queen.
Chess.com analysis flagged one of my earlier moves as a Mistake, as I could have successfully Queened my Pawn without immediately losing it, leading to a K+Q vs K+R (no Pawns) ending. Can K+Q force a win vs K+R, or is that a Draw anyway? My study of that is 30 years past, and I don't have my books handy lol