Quickest 7h 23min
There are 4 buses 3 flights1 train company operating 2 routes - Texas Eagle, California Zephyr from Bryan to Salt Lake City. The cheapest train costs $396 and is 2d 1h 40min.
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There are 4 ways to travel from Bryan to Salt Lake City. 4 buses, 3 flights, 3 trains and 1 by car are possible between the two areas. The by car from Bryan to Salt Lake City is the cheapest. The flight from ACT to SLC is the fastest. The train operated by Amtrak running from TAY to SLC is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!