Flight Taoyuan International Airport departs from Taipei Taoyuan International Airport at 11:05 and arrives at Phuket Phuket International Airport at 14:20.
The flighttime is about 4h 15m. The distance travelled ("as the bird flies"): 2601 Km. So the average speed is roughly 612 Km.
There is an 1 hour time difference between Taipei and Phuket