Taxi:
. Approximate time is: 20 or 25 minutes.
. Approximate price is: 25 or 30 euros with airport supplement included (Airport Supplement is: 4.20 €).

Bus: 
. Take the airport bus to the Plaza de Colón (Route 89) from each terminal. When you get to Plaza de Colón, walk by Goya street until you arrive to Velázquez street. There you have to turn to the rigth and  walk approximately 500 metres and you arrive at Welllington Hotel. 
. Approximate time: 45 minutes (including 10 minutes walk).
. Timetable: from 4.45 until 2.00 am. They operate every 15 minutes from 4.45 to 6.00 am, then every 10 minutes between 6.00 am and 9.30 pm. After 9.30 pm they operate every 16 minutes.

Subway
See the map
. Take the the pink line (number 8) towards Nuevos Ministerios station and change at Mar de Cristal station for brown  line (number 4) towards Argüelles. You get out at Velázquez station, then take the exit to Velázquez street and walk approximately 100 metres and you arrive at Wellington Hotel.
. Approximate time: 30 minutes.
. Price: 1,10 euros (single ticket).
. Timetable: from 6.00 am until 2.00 am.