Hi, I am trying this rook endgame with the rook on the side and a pawn ahead, in the computer workout, but I can't find the right maneuver. The computer gives +0.80 but "best move" can't find the win although a FM and another guy declare they did.  Any ideas?

http://www.chess.com/computer-workout/server/rook-on-the-side

Not sure, but standard idea is to walk king over to your passer.  I'm sure you tried this though so I dunno.  (Rook limits black king, pawns are fine as they are).

Interesting. I thought it should be fairly straightforward, but when I tried it against fritz 12 I couldn't get more than a draw. Fritz just advanced the kingside pawns and exchanged pawns to get a draw. I would expect the technique would be to avoid pawn exchanges, and try to reach a position where the rook protects the kingside pawns, so the king can go to the queenside. This is the ideal setup but it is probably impossible to reach unless Black plays cooperatively. I might try again against fritz later.

I know some positions even with the rook behind the pawn are drawn.  May be a book draw, not that you wouldn't make your opponent suffer the proof as black if this were a tournament game :D

c_pawn. I was thinking maybe you could submit a pgn with your try against Fritz, and from there, try improvement.

Here is the game. GM Popchev went to simplify pawns first instead of briging the king towards the passer.

If it's not too much trouble I would be very interested, thanks.

I'm just reading Dvoretskys manual and he says that if the strong rook can protect either side pawns, drifting the king towards the passer normally gives a win if the passer is far enough, as in this case. I'll try to find and post his game example. Nunn says something similar in Understanding Endgames and gives the game Averbach-Euwe (Zurich 1953) as an example.

I also think the position is drawn, because of the lack of pawn weaknesses in Black's position for White's king to exploit and because the pawns are not advanced (and not overextended and not fixed). White's king practically can't threaten them alone, therefore Black's king is not tied to their defense and can get an active position in the center.

The position resembles a bit the Lipnitsky - Smyslov endgame (1952), which was also with a separated queenside passed pawn, and also got drawn:

This is the game Dvoretsky commented in his book. It seems that white advancing pawns was a mistake.