I have a quick overnight stopover in Madrid in early October. I'll be arriving at Madrid airport at 7pm on a Friday from Morocco (carry-on only). My flight to USA leaves next day at 13:00/1:00PM.
I've never been to Madrid, I'm used to fast travel with short/no sleep, and I wouldn't mind taking a taxi to downtown Madrid. I hear restaurants/tapas are open late so I'm thinking to get a hotel in downtown for the night. I can take a taxi next morning back to airport. I'm an early riser and could go for a quick walk near the hotel in the morning.
So here is my question. Knowing I will just have one night and will need food right away, which area should I look for hotels? Somewhere I can quickly walk to a tapas bar that evening after hotel check-in. And potentially quick walk around in the morning before I take a taxi to the airport (not checking a bag and taking international flight at 1pm. What time should I take a taxi from hotel?)
I am a female traveler in my 40s and will be traveling alone. Thank you.