Can white win this?

In a game I just finished I almost blundered in a clearly winning position and would have ended up with this:

Is the position a draw? Or is there some way to win for white? To me it looks like a draw.

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I see a clear win for White.  The King can easily pick off the two pawns.

Then it is just a matter of the King and Rook working together to pick off the remaining pawns and go to checkmate. 

It's black to move so he probably moves f5, if the white king goes after the 2 queen side pawns black pushes his kingside and as far as I can see black will get a passer against the rook with the white king too far to help. The rook alone wouldn't be able to stop the advanced passed pawn+king from promoting.

Is there something I'm missing?

Looks like a win for white to me.

edit: nevermind. I sometimes forget about the double pawn move rule in endgame puzzles.

I think this is a win for white after 51. ..f5.

Not an endgame puzzle since I don't have the answer :)

This is exctly along the lines I was thinking and I see no improvements for white, but maybe I'm missing something.

Edit: chessmaster in your final position Kh3 and it's a draw.

It's won for White.

Ah. Thanks chemaster and Natalia. I wasn't thinking very thoroughly and missed that whole king blocking idea in that position.

Thank you Natalia.

I just checked it with a tablebase from 6..f3 on and it's a win for white, the king gets there just in time.