Look in the hatchback under the flooring, there should be a tire mobility kit. It includes an air compressor, fix-a-flat which you attach to the compressor, and some other stuff like a tow hook, etc.... As far as I know, Rio's don't come with run flat tires.

Here's the compressor and fix-a-flat:

 

Lmao! Kia with run flats from factory? Bahahaha! Yeah right. They still put shitty hankooks on their $66K flagship vehicle. Anyway you have a tire mobility kit in the rear cargo area. And runflats tires will say RFT on the sidewall.

 

Is there room for a spare tire?

 

There are spare tire kits available from the dealer if you are worried about having a tire failure that the kit won't fix.

 

If you remove the foam piece they put back there yeah probably. Still need a jack and lug wrench.

 

A very recent thread on the subject:

http://www.kia-forums.com/3g-2011-rio/160129-rio-spare-tire-kit.html

 

not too many vehicles have run-flat tires and only on high end units, but very expensive to replace. It would be silly on a low end vehicle like a Rio.

 

I got a full sized spare tire with my Rio. Probably why my car is so sluggish - there's a massive 17" 205 alloy wheel in my boot.

 

What would be the year of the oldest Kia Rio5 that it's tire/rim would fit my 2013?

 

The kit from kia comes with all that you need should be around $210.00 for everything. Wheel, tire, jack, lug wrench, and storage bag.

 

Would a used full size tire (not a donut) fit in the trunk where the tire-kit would go?

 

It's too big. But you could take off one of your wheels to see if it would fit. Or measure it to see.....

 

It's too big.

full size tire will fit the opening, but will be slightly too tall, and the cargo cover will not sit flat.

 

Every new car I have bought over the years I have found the OEM tires to junk. Just because they are brand name does not mean top of the line tires.
As an example my Mazda3 Gt came with Yokohama tires, pretty good brand name you would think, yet they were bloody awful. I dumped them within the first month.

Pat.

 

For the most part, I agree, most OEM tires are crap but I'm saying that both of these vehicles came with tires that I am happy with. In both cases, they ride smoothly, handle well, and wear well. When it comes time to replace them, I wouldn't be opposed to buying the same brand in both cases.