There are 1 train company operating 2 routes - Silver Star, Shuttle. The cheapest train costs $198 and is 23h 30min.
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There are 4 ways to travel from Naples to Hempstead. 4 buses, 3 flights, 3 trains and 1 by car are possible between the two areas. The by car from Naples to Hempstead is the cheapest and fastest. The train operated by Amtrak running from SBG to NRO 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!