Flight Narita International Airport departs from Tokyo Narita International Airport at 06:20 and arrives at Fukuoka Fukuoka Airport at 08:25.
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 Friday, as prices are on average 136.8% higher than on Tuesday. (Average prices, based on 1123953 datapoints.)
We have a lot more statistics for flights JQ 501 and between Tokyo and Fukuoka.