Good thing about SLC is that delays are very rare. As long as your flight departs CLT on-time, a 30-minute connection is highly doable.
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If your itinerary was purchased as one ticket (as in: you have only one itinerary and one confirmation number), and the connection time was too short and you miss the second (or third) flight, you can rest easy, no matter what happens. The airline will simply put you onto the next available flight, free of charge.
It turns out, the walk to the furthest B-Gate is 3,350 feet, which is roughly 0.64 miles. The mid-course tunnel itself is about 1,200 feet, which measures about a quarter mile. There is no doubt those distances can be difficult for the elderly and less mobile.
Generally speaking, most airlines will make some kind of efforts to wait for delayed passengers on a connecting flight, though this is not necessarily guaranteed. In some cases, airlines may be able to hold a connecting flight for a period of time, but it is not something that is typically guaranteed by any airline.
Saturdays, Tuesdays and Wednesdays also come in as the cheapest days to fly, because they're not popular travel days. Due to popularity, Sundays and Fridays are usually the most expensive days to fly. Holidays always play a major role in not only traffic and delays, but also in price.
If the missed connection is the airline's fault (a delayed initial flight due to mechanical problems, for example), the airline should rebook you on the next available flight. If the next outbound flight is the following morning, the airline should either book you on another airline or provide accommodations and meals.
While, generally, the airline won't wait for connecting passengers, there might be some exceptions. If a flight is delayed, and there are many passengers who are connecting from this delayed flight onto the same connecting flight, the airline will hold the connecting flight for these passengers.