The Moscow terminal for trains to/from Kiev and several European cities including Belgrade, Zagreb, Bucharest, Budapest, Prague, Vienna, and Venice, Kiev Station is roughly 15 km from the Molodyozhny Hotel in Moscow.
By taxi
The journey from the station to the Molodyozhny Hotel by taxi should take around 25 minutes, but can take considerably longer during rush hour. Taxis will cost $30-40, or you can book a transfer with a driver to meet your train here.
By metro
From Kievskaya Metro Station, take the brown circle line and travel clockwise three stops to Novoslobodskaya, and then change to the gray line and go three stops north. Get off at Timiryazevskaya Metro Station, and the Molodyozhny Hotel is less than ten minutes' walk up the road from the metro.
