This is the case study for Salt Lake County Emergency Informations along with fault lines and liquifaction zones.
Below are images and reports on the study...

It looks to me that Salt Lake county has a lot of hospitals very close to each other downtown, which makes sense, there's a lot of population downtown. As for the rest of the town, it does seem a little controversial. There's a lot more population in West Valley and it would seem more valid to have more hospitals out there, but that is not the case. There are however a lot more hospitals located on the east side of the valley, which happen to be a lot closer to the fault lines and that is presentable.
As for liquefaction, it kind of depends on what side of the valley and Jordan river you happen to be on. It kind of seems that on the west part of the liquefaction, there may more of a struggle to get to a hospital, mainly because of possible road and bridge failures and there is only limited hospitals due west from there. But if you're on the East part of the liquefaction zone (which I am a part of) it seems that there should be a little more access towards a hospital. I do notice how evenly distributed the fire stations happen to be with accordance to east vs. west. It seems that maybe there is a law that permits a fire station within an amount distance between each other. It looks very well evenly distributed along with police stations.
I do feel a lot more comfortable living at my parents house in Murray, the house was built mostly by my dad and he had a lot of reference in accordance to building codes and knew to build with respect to any earthquake, but this was back in like 1978. It does however sure beat living at a 3 story apartment complex that I was living at for the past year, it was in an older part of Murray. If the 'big one' does occur, I will do my best to get to a safe area, but only if that area happens to be uncomfortable. It is always important to try and stay calm and to not panic during an earthquake, but i've been in a small one up in Canada when I was a kid and it made a few heart beats thump.

I spend most of my day at work and that happens to be at a call center in Draper. The building is fairly new, I think it's about 10 years old and it's only 2 stories. I'm on the bottom floor taking inbound calls for a music company and it's really enjoyable. I do think that maybe if there was an earthquake there, I'd probably get underneath a cubicle if I happen to be on a call. I'm not sure about being on the west side of the building because the huge Rocky Mountain Power lines are lined up across the parking lot. They are actually in the process of building even larger towers to accompany more power. I'm just not quite sure how sturdy those poles are, but I do know how dangerous power lines can be when they are near the ground.
