Michae's cycling speed is 19.25 miles/hour.
Given that, distance=12 5/6 miles=77/6 miles and time =2/3 hours.
The formula to find the speed of an object is Speed=Distance/Time.
Now, speed=[tex]\frac{\frac{77}{6} }{\frac{2}{3} }[/tex]
=77/6×3/2=77/4
=19.25 miles/hour
Therefore, Michae's cycling speed is 19.25 miles/hour.
To learn more about the speed visit:
https://brainly.com/question/7359669.
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