How to convert this pawn advantage into a win?

This is a recent game of mine. The position I think is interesting is from move 34 onwards. Its the endgame. I have rook and 6 pawns versus rook and 5 pawns. In the centre I have 2 pawns to 1. I think I should be able to convert this into a win, but in the game as played, I failed to do so. There are two open files (c and f), and ideally I would want to keep both these files blocked to prevent black from penetrating my position, whilst at the same time, advancing my central pawns to create a passed pawn. However, I couldn't really see how to keep the files blocked and also use my king and rook to help push the pawns foward. Unfortunately I let the black rook into my position, where it was able to counter attack against my central pawns. I'm very interested to understand if this was a winning position, and if so, what strategy I should have been following. Thanks!

Your endgame technique is very bad, you should study rook endings starting with Lucena position

And yes, the position was a win for you, though a hard one to follow through with

No offense intended in previous comment. :)

36. Rd1 followed by d5 is the easiest winning plan. I am unsure why you played 37. e5. 

@fianchetto123: a.) it wasn't a "hard to follow through" position b.) The lucena position has nothing to do with the game position c.) The main reason he lost the win was actually tactical in nature; not seeing that 40...Re1+ wins a pawn. Although his endgame technique wasn't exactly sublime either.

Only looked at this from about move 25. Move 26. Rcc1 doesn't look good because you gave up control of the c-file. Better would be Rec1. After that black had been looking better. If black had moved a rook to the 2nd row as early as move 33, i think black could've won.

You might've had another shot at move 39 by playing d5 to create a passed pawn. 

Re2-d2, push your d pawn to create a passer, make the opponent's rook passive, bring your king to the queenside and munch his pawns, trade rooks then win

Yes, 36. Rd1 to help create a passed pawn works.

kaluki is right rooks belong behind passed pawns and you created all that trouble that cost you a win by playing 37. e5 smh

Thanks for all the responses. I think I was over complicating by trying to keep my rook blocking one of the open files, whereas I should have just stuck it behind the pawns.

I vote with kaluki.  Black's 35...Rd8 is a blunder and he should have tried ,,,Kf7 to centralize his king(although he should still lose, but no reason to make it easy for you.). You should have grabbed 36 Rc1 threatening Rc5.  You only have to pick up one more pawn and the endgame will become self working.

i go w/ main ideas already stated...create pass p. but be careful black k. can walk up to  assist(as can u)use d.pawn as a fake and win by taking q. pawns....if rook tries to protect q. side then push your passed p. using k .and rook

36.Rd1 is a nonsensical move (Black has time to return to the c-file by 36...Rc8!- and don't ask me why he left the file one move before!), since white can simply play 36.Rc1 and mop up a few pawns more.

Play may continue 36.Rc1 Rf8 37.Rc5 Rf1 38. Rxg5+ Kf7 39.Rxb5 Ra1 40.Kf4 Rxa2 41.Rb7+ with an easy win.

White should probably have taken on a3, since 34.b3? allows instant equality with 34...Rc3 (or even Rc2+). Same applies after 35.Ke3, both moves should draw. 35...Rd8?? is a huge lemon.

Also 36. Rf1 looked a little pointless.  First, the enemy king was guarding the f file, so you couldn't penetrate down it.  Second, your king was also guarding the f file from invasion by the enemy rook, so you don't need to guard it a second time with your rook.  If you were going to take an empty file, the c file was better because it was not already safe on your side, and not guarded by the enemy king either.