Kursk Station is the Moscow terminal for trains from central Russia (Kursk and Nizhny Novgorod), eastern Ukraine (Donetsk and Kharkiv), and some Sapsan high-speed trains from St. Petersburg. The Altay Hotel is about 10 km from the station.
By taxi
It should take about 30 minutes to reach the hotel by car, although the trip can be much longer at peak times. If you are willing to negotiate with a driver on arrival, taxis should cost no more than $35. If you prefer, you can book a transfer with a driver to meet your train here.
By metro
If you prefer to use public transport, take the brown circle line from Kurskaya Metro Station and travel three stops counterclockwise to Novoslobodskaya. Change there to the gray line, and travel five stops north to Vladykino, which is roughly 500m from the Altay Hotel.
