Flight Haneda Airport departs from Tokyo Haneda Airport at 18:45 and arrives at Osaka Kansai International Airport at 20:05.
The flighttime is about 1h 20m. The distance travelled ("as the bird flies"): 511 Km. So the average speed is roughly 383 Km.
The best day to arrive at Tokyo is Saturday and it would be best to avoid Tuesday, as prices are on average 65.61% higher than on Saturday. (Average prices, based on 6946392 datapoints.)
We have a lot more statistics for flights JL 137 and between Tokyo and Osaka.