I recently found myself in a position where I have a rook and a pawn while The other guy has a queen. Would a draw be the proper outcome, or would I have winning chances. 

 K+Q vs K+R is a win for the side with the queen. I'd say it depends where the pawn and king is on the board.

If you can build a fortress to keep the King out. just never move the Rook or pawn again

I'm not sure, but I bet it could be a draw or win for either player depending on where the pieces are placed. I bet a further advanced pawn is better for the R+P guy, and rook pawns are less valuable in a bunch of endgames.

Yeah, that's a perfect position. TheWhite King can never get close, and the Black King can always hide behind the pawn

Yes, but is there a possibility I could win with best play? I know that if a blockade happens, it's a draw, but this time I have a fifth rank knight-pawn.

Why don't you run it through a machine?? =) Or maybe you don't have one?

I don't think you can win. But I could be wrong. I was once before, in '79.....

I already consulted a master, he said I had a drawn game, but I'm wondering why I cannot go on the offensive, threaten to promote my pawn, and (possibly) win.

I would imagine that if you do that, then you would have to expose your king (you can't give checks on every move), and once that happens his queen would have a good shot at forking your pawn or your rook...

Probably, unless I advance my pawn with check.

With that position, I think it better for your king to stay behind the pawn. The queen can't attack, and the king is already off the game. All you have to do is to leave the rook on the f file and try attacking the queen, till...well, the fifty-move rule or the three-move rule.

I would say it was drawn.

Use online Shredder's endgame database for such positions (http://www.shredderchess.com/online-chess/online-databases/endgame-database.html). You can explore all variations there.

It says that position in question is drawn.

Yet, black does not have to continually check in the position.

though it depends on the position of your game, still i would perhaps prefer k+r+p

It's almost always the queen that has the winning chances in these endings. Something rather special indeed has to happen for the side with the rook to have any winning chances. Just think - if you get your pawn to the 7th, where is the king going to hide from checks?

It's extremely hard for a human to win QP vs Q because of the checking possibilities, never mind RP vs Q...

No, I don't- All I have to make sure is that the rook has a safe home on f6, protected by the pawn, slapping the king away with a check on the f file whenever he comes too close for comfort, and making sure my king has constant contact with the pawn- indirectly protecting the hyper-active rook.

And that is an excellent point. Now I'm beginninig to wonder whether you won't lose if you try to win. With the pawn too far advanced you might deprive your King of flight squares.... just wondering

Rooperi - I was being diplomatic. Unless the side with the queen has managed to put itself in the corner behind its own king, there is never a win.

See my game sequence above. White has basically achieved as good a setup as he could hope for - pawn on the 7th, rook and king nearby. The queen can ALWAYS check the king or pin the pawn to the king.

R+P has NO winning chances vs queen. ALL the winning chances reside with the queen in practically all the positions.