If you post a pic of your champion roster and the gear of your actual arena team, I'm sure we can suggest a team that is able to kill the last tanky champ standing as well. Quite often complaints like this come from players who have their purposed damage dealer in a bolster set and ~30% crit rate.

So i had 3 damage dealers, with 100% crit rate and 100+% crit damage, and then my vogoth in bolster, opponent had UDK and 3 damage dealers, damage dealers died on both sides and what was left was vogoth vs UDK for the remainder of 30 minute limit. As i sayd people who have progressed enough wont see the problem most likely because they are already running speed race teams where everything is decided by who goes first. In lower tiers you encounter tanky teams. Now in classic arena people said, you had every opportunity to win you saw all the champs before fighting, now this excuse is out the window and we are left with the situation where neither of parties wants to give up and the fight drags on for 30 minutes. Am i crazy for thinking this is an issue?

Obviously something wrong with your team composition. 3 damage dealers and Vogoth? No debuffers?

And unless your opponent brings 2 UDK to the fight, what could be possible in Bronze and Silver, why not just ban this champ?

Ya obviously im talking to a wall, this situation where noone can win shouldnt happen, its not on player period. Simple solution put a DRAW button there, if both push it then its a draw and noone gets rewards, then noone has to be stubborn and wait for 30 minutes. 

EDIT:

Furthermore as ive encountered this situation 3 times myself already, it shows that 3 other players had this problem too as they didnt beat me. This further suggests that there might be alot more people out there in trhis very situation, just not making posts about it.

I still think that damage should start ramping up after 10 minutes. 

A few things:

1) I think you have misconceptions about what higher level arena looks like with regards to speed races. We're in a tank/slow meta. A lot of the speed teams are bomb oriented that are set to counter Stone Skin/slow teams. 

2) A lot of it is on the player, in both directions. There are going to be people who bring very slow, very tanky teams that are meant to draw out fights via attrition. As we're picking champions in live arena we need to be thinking how we're going to deal with that, and that includes our builds outside of it and what we're bringing (and banning) during it. 

I see people making mistakes during in the fights themselves, bannings, choices and I suspect these are often causing the stalemates. That's one reason I push back on the idea that the format - perhaps outside of timers - needs wholesale rules changes.

3) Live Arena in general does feel/seem slow at times. I still think we should be planning how we're going to spend less time in it via making better choices in champs, teams, bans, gearing.

I know the earlier you are in the game - or the later you are in the game against tougher competition - the more restricted you can be in options. I still think it is worth trying. 

I don't think I agree with draws, ramping dampage, any of that really as solutions. There are solutions out there involving block revives, bombs, building multiple DPS well. I do think that if I were limited by options, I'd be spending more time on the gear grind, figuring out what champs I can bring up if I really wanted to do live arena at the expense of other progression, so on and so forth. 

In essence this is a very similar problem we've all faced in really all content, just under a different name: It is still figuring out how - and when - we can tackle a piece of content.