Quickest 2h 32min
There are 2 train companies operating 3 routes - Cross Country, 123 (GW), 125 (GW), 4 buses1 flight from Derby to Cardiff. The cheapest train costs $49 and is 2h 32min.
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There are 4 ways to travel from Derby to Cardiff. 4 trains, 4 buses, 1 flight and 1 by car are possible between the two areas. The by car from Derby to Cardiff is the cheapest. The train operated by Arriva running from Peartree to Yatton is the fastest. The train operated by running from Derby to Cardiff 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!