Two far-advanced pawns supported by king and rook are often stronger than the opponent's lone rook: stopping one of them costs the defending rook itself, and the other goes through.
Here White has the king on g5, the rook on b7 and pawns on f6 and h6; Black has the king on g8 and the rook on a1. Black to move, and Black loses (per the tablebases): the white pawns with piece support are unstoppable.
The lesson: when judging rook against pawns, look at how far advanced they are and whether they are supported. A pair of pawns on the sixth with king and rook behind them is already an advantage.
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When they are connected, have reached the sixth rank and are supported by the king: the rook is forced to give itself up for one of them.
Almost always. Without it the rook has time to attack the pawns in turn and stop both.
Put the rook behind the pawns, attack them and bring the king up - while the pawns are short of the sixth, the drawing chances are good.
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