From Antalya Airport the road distance to Fethiye town is ≈230 km, and the drive takes ≈200 minutes in normal conditions. Ölüdeniz, south of Fethiye over the hill, is ≈248 km / ≈215 minutes. Göcek, west of Fethiye, is slightly nearer at ≈218 km / ≈185 minutes. In high season, and when passing through town centres, allow extra time.
That is a genuine journey, not a quick hotel run: roughly three times the drive from AYT to Side. In a private car the clock starts when you sit down — no waiting for other passengers, no detours to other hotels, and the driver takes you straight to your own accommodation. Live prices for the vehicle are on the Antalya Airport to Fethiye route page.