Rook against two pawns is one of the trickiest endings there is. Two connected passers, especially well advanced, often prove stronger than a rook. White to move here, and the position is won for the side with the pawns (per the tablebases).
White has the king on h2 and connected passers on a6 and b5; Black has the king on h5 and the rook on f1. The pawns support each other as they advance: when one reaches the seventh rank the rook has to give itself up for it, and the other promotes.
A rule of thumb: two connected passers that reach the sixth rank are usually worth a whole rook. So in endings like this, counting tempi matters more than the formal balance of material.
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