Flight Narita International Airport departs from Tokyo Narita International Airport at 15:25 and arrives at Fukuoka Fukuoka Airport at 17:40.
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 52.24% higher than on Tuesday. (Average prices, based on 1151627 datapoints.)
We have a lot more statistics for flights JQ 513 and between Tokyo and Fukuoka.