Flight Narita International Airport departs from Tokyo Narita International Airport at 08:45 and arrives at Fukuoka Fukuoka Airport at 10:50.
The flighttime is about 2h 05m. The distance travelled ("as the bird flies"): 1119 Km. So the average speed is roughly 537 Km.
The best day to arrive at Tokyo is Tuesday and it would be best to avoid Saturday, as prices are on average 125.5% higher than on Tuesday. (Average prices, based on 1159438 datapoints.)
We have a lot more statistics for flights JQ 505 and between Tokyo and Fukuoka.