Rook vs Connected Passed Pawns: The Draw

Kling and Horwitz published this in 1851, and it still teaches the cleanest lesson about a rook facing connected passed pawns.

The rook is already perfect. On b1 it blocks the b-pawn and covers a1 along the first rank, so neither pawn can promote. It does not move once in the whole solution, and any rook move loses.

The king does the work. Only Kf5 draws. The black king is trying to reach b3 or c2 to escort the pawns, and White's king stands in its path all the way down: Kf5 Kh4, Kf4 Kh3, Kf3 Kh2. That is shouldering.

Then cash in. Once the black king has been shouldered out of the race, White crosses with Ke3, Kd3 and Kc3, eats the pawns, and the game is drawn.

The shoulder is that strong. Played right this is a comfortable draw, but the pressure cuts both ways. If the black king wanders to the edge, he can even lose: in one sideline the rook checks with Rg1+, drops back to b1, and a careless Kh2 is caught in zugzwang. Your rook is not only holding, it is a latent threat. Keep shouldering and let him be the one to slip.