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How long is the drive from Destin, FL to Panama City, FL? The total driving time is 1 hour, 16 minutes.
1 Montgomery, AL to Destin - 160 miles - 3 hours and 20 minutes driving time. 2  Jackson, MS to Destin - 300 miles - 5 hours and 20 minutes driving time. 3  Baton Rouge, AL to Destin - 305 miles - 5 hours driving time.  Charlotte, NC to Destin - 567 miles - 9 1/2 hours driving time.