There are 2 train companies operating 10 routes - 1, 1, 1, 131, 1, 130, 70, 1, 1, 1. The cheapest train costs $23 and is 2h 39min.
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There are 4 ways to travel from BUD to BTS. 1 flight, 3 trains, 4 buses and 1 by car are possible between the two areas. The by car from BUD to BTS is the cheapest. The train operated by MÁV running from Budapest to Hegyeshalom is the fastest. The train operated by running from Budapest to Bratislava 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!