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Take half elf (not unchained) synthesist summoner.
Base land speed of the quadraped eidolon is 40ft.
26 ep from level 20. 5 additional EP from favored class options
Extra evolution 5 times. Total Evolution Pool is 36 points.
2 points for flight at Base Speed +20ft per extra point spent.
Take the run feat and fleet 4 times.
Base speed when in eidolon form is 60ft.
Flight is 60ft+680ft if you spend all points enhancing flight speed.
Flight at 740ft. If you 'run' while flying, at x5 you move 3700ft per round.
If you add in mythic:
As mentioned above, mythic champion 10,
Impossible speed +30ft
Extra mythic feat 5 times.
9 mythic fleets
Base speed becomes 125ft, 225ft with activation of impossible speed.
Add in haste, and boots of striding and sprining plus the above mentioned 680ft bonus on flight speed.
You fly at 695ft. If you mythic run at 7 times that, 6755ft in one round. Which roughly 768mph. Which is just enough to break the sound barrier.