However, don't forget you can't go 60 through the towns and the border is going to take you a little bit of time, so I would budget about 18-20 hours for the drive total. I would take Mex. RT. 15 all the way down along the coast. If you want to do it in two days, I'd stop in Guaymas for an overnighter. Good luck.
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From Cozumel Airport to Playa. Grab a taxi to the dock, el muelle, for about 10 dollars. Ferries to Playa leave every hour on the hour, except at 11am and 1pm. The ferry ride is about 15 dollars and will take you about 30 minutes.