Flight Brisbane Airport departs from Brisbane Brisbane Airport at 06:05 and arrives at Cairns Cairns Airport at 08:30.
The flighttime is about 2h 25m. The distance travelled ("as the bird flies"): 1295 Km. So the average speed is roughly 536 Km.
The best day to arrive at Brisbane is Thursday and it would be best to avoid Wednesday, as prices are on average 154.95% higher than on Thursday. (Average prices, based on 105554 datapoints.)
We have a lot more statistics for flights QF 706 and between Brisbane and Cairns.