Flight Narita International Airport departs from Tokyo Narita International Airport at 17:55 and arrives at Fukuoka Fukuoka Airport at 20:10.
The flighttime is about 2h 15m. The distance travelled ("as the bird flies"): 1119 Km. So the average speed is roughly 497 Km.
The best day to arrive at Tokyo is Tuesday and it would be best to avoid Friday, as prices are on average 172.34% higher than on Tuesday. (Average prices, based on 1133556 datapoints.)
We have a lot more statistics for flights JQ 519 and between Tokyo and Fukuoka.