There are 2 train companies operating 4 routes - EB 1, IC26, ICE11, RE1. The cheapest train costs $53 and is 4h 24min.
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There are 3 ways to travel from Mühlhausen to Büttelborn. 2 trains, 4 buses and 1 by car are possible between the two areas. The by car from Mühlhausen to Büttelborn is the cheapestand most convenient. The by car from Mühlhausen to Büttelborn is the fastest.
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!