There are 2 train companies operating 3 routes - RE1, RE9, ICE 79 from Aachen to Cologne. The cheapest train costs $17 and is 1h 23min.
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There are 3 ways to travel from Aachen to Cologne. 2 buses, 4 trains and 1 by car are possible between the two areas. The by car from Aachen to Cologne is the cheapest. The by car from Aachen to Cologne is the fastest. The train operated by SNCB running from Aachen to Cologne 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!