The answer is 37.69 mph. On another note, Secretariat ran every quarter mile of the Derby faster than the one before it. His times at each quarter-mile of the race were 0:25.2, 0:24, 0:23.8, 0:23.1, and 0:23 flat for the final quarter mile.
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Very, very fast like 120 mphs.
120 very funny. His fastest speed was 49mph. His average speed was 38.7 mph. Secretariat was known to run faster as the race progressed.