Quickest 7h 11min
There are 1 train company operating 2 routes - Empire Builder, California Zephyr, 4 flights from OTM to CUT. The cheapest train costs $284 and is 1d 10h 51min.
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There are 3 ways to travel from OTM to CUT. 4 trains, 4 flights and 1 by car are possible between the two areas. The by car from OTM to CUT is the cheapest. The flight from DSM to GTF is the fastest. The train operated by Amtrak running from OTM to CUT 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!