There are 1 train company operating 4 routes - IC26, ICE28, ICE25, RE30. The cheapest train costs $75 and is 8h 16min.
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There are 3 ways to travel from Neustadt (Hessen) to Vach. 2 trains, 4 buses and 1 by car are possible between the two areas. The by car from Neustadt (Hessen) to Vach is the cheapest and fastest. The train operated by running from Neustadt (Hessen) to Veitsbronn 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!