Since what is involved here is the Shinkansen, or famous bullet train, the distance of 934 km is covered in 3 hours 40 to 3 hours 49 minutes:
Route Departure time/Platform Arrival time/Total sum/Required time/Distance/Number of transfers
The first TOKYO(05:18) HAKATA(08:59) ¥36670 3hours 41min 934.9 km 3times
The second TOKYO(05:28) HAKATA(09:14) ¥24670 3hours 46min 934.0 km 3times
The third TOKYO(06:20) HAKATA(10:08) ¥36670 3hours 48min 934.0 km 3times
The fourth TOKYO(06:20) HAKATA(10:08) ¥36670 3hours 48min 934.9 km 3times
The fifth TOKYO(06:46) HAKATA(10:26) ¥24670 3hours 40min
When converted from metric into U.S, units, it becomes 158 miles per hour averaged throughout this trip, which goes along the entire lower coast of Honshu and then onto Kyushu. Since there are several stops, you can imagine how fast this train is really travelling.