By taxi
The journey from Domodedovo to the Rus Hotel by car will take around 30 minutes. Official airport taxis cost $30-40 (depending on the class of car), or you can arrange a transfer with a driver to meet your flight here.
By train
Aeroexpress trains run from Domodedovo to Paveletsky Railway Station. Trains run daily at 30-minute intervals from 6am to 12am and the journey takes 40-50 minutes. Standard adult singles cost a little over $10, with discounts for small children and family tickets also available. Then, from Paveletskaya Metro Station, travel one stop clockwise on the brown circle line to Dobryninskaya Metro Station. From there go on the gray line eleven stops south to Bulvar Dmitrya Donskogo Metro Station. It is 2 km from there to the Rus Hotel, and the hotel provides a complimentary shuttle bus service in the mornings and evenings.
By bus
There are also bus services running from the airport to Domodedovskaya Metro Station in the far south-east of Moscow. While it is possible then to take the metro to Bulvar Dmitrya Donskogo (two changes) and walk the final 2 km to the hotel, this complicated and uncomfortable journey is definitely not recommended.