burg eltz castle by public transport?

Does anyone know if it is possible to make a day trip to Burg Eltz Castle by public transport from Cologne? Thank you!

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Train to Moselkern (1:45, one change in Koblenz).

From Moselkern it%26#39;s a scenic and easy walk of 35 - 45 minutes to Eltz Castle.

Eltz Castle is rather hidden deep in a side valley, not steep uphill like the other castles in this region.

http://www.burg-eltz.de/