I routinely schedule < 1 hour connections in SLC, and these typically involve concourse changes from E->B or E->C, which are long walks. (E is the SkyWest Delta Connection concourse, used for all CRJ200 flights). I do have to move quickly sometimes, but also often have 20 minutes to duck into the SkyClub.

On mainline Delta, the Delta gates at SLC are in C, D, or sometimes B. You can usually make connections C,D,B easily.

YMMV. I have been burned a couple times (out of 100+ SLC connections) and DL will not hold for connecting pax, even if you are in the airport, they know you are on the way and running like crazy to get to your gate.