Getting from Madrid Barajas to Madrid Chamartin

The train from the airport to Chamartin takes half an hour, and they are frequent. The rest of the time needed is hard to determine. Personally, I wouldn't book your onward train ticket in advance - just buy it at Chamartin.

alex440 said:

Is 3 hours a reasonable time to clear luggage and get to the train station in Madrid on Friday afternoon?

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Yes. The station is at the T-4 terminal. If you need to take the free shuttle bus, allow about 20 minutes. There is a ticket sales office in the T-4 terminal, so you can buy your tickets in advance. However, most tickets are not refundable, so if you are late, you will lose your prepayment. The entrance to the Cercanias shuttle train is at the Renfe ticket office, and the ticket for the shuttle is included in your train fare. The shuttle runs every 30 minutes, so the worst case is that you have just missed the train. The actual ride is under 20 minutes, so it all adds up to about 70 minutes; you will have enough time!