Quickest 7h 23min
There are 4 buses1 train company operating 2 routes - Texas Eagle, California Zephyr, and 3 flights from Salt Lake City to Bryan. The cheapest train costs $396 and is 2d 1h 40min.
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There are 4 ways to travel from Salt Lake City to Bryan. 4 buses, 3 trains, 3 flights and 1 by car are possible between the two areas. The by car from Salt Lake City to Bryan is the cheapest. The flight from SLC to ACT is the fastest. The train operated by Amtrak running from SLC to TAY 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!