Lessee...... 20th-level human psychic warrior.... Speed Of Thought 13 times, the maximum possible at that level...... Inner Strength twice at 1st-level, Run at 3rd-level..... Speed of 160 feet at 20th-level. Enough power points and free talent manifestations to use the Burst power around 120 times per day, each time gaining +10 enhancement to speed for 1 round.... So for about 120 rounds per day, in other words 12 minutes per day, could run 850 feet per round. Could replace 60 of those Burst uses with a like number of Hustles, but Hustle takes a standard action to use and doesn't take effect until the next round....nonetheless, that gives about 60 separated rounds per day of running 1,020 feet per round.
You could forego the Run feat however, along with 1 level of psychic warrior, and instead gain 1 level of psion and gain a Speed Of Thought feat at 3rd-level (though you later miss out on one SoT feat eventually, but it doesn't change the end total of them). The extra power points from that 1 psion level help cover the power point requirement of an SoT feat at 3rd-level. With this slight alteration, by 20th-level, use the Polymorph Self power to become a cheetah, boosting your base speed to 190 feet with Burst, then use Hustle the round before to gain an extra move action this round, moving you 190 feet plus a cheetah sprint of 1,900 feet, for total movement in the round of 2,090 feet....
Which works out to 237.5 miles per hour, but only for one round, and only once per hour....... Ah well. Moot point with Teleport and the like anyhow.
Just how quickly does someone have to run in order to dash across water without falling in, though, I wonder?