An average value is the middle of the bell curve, which may or may not be equal measurements on either side. A massive top speed would not be needed if you could limit the amount of time spent at 'below average speeds'.
Now if you are breaking the law with extreme speeds it could be taken for granted that fatigue management is not a priority and a variety of things could keep one awake.......
Back when 11 hours was a pertinent number a loaded linehaul truck could make a Hastings-Auckland-Hastings return trip in 11 hours allocated driving time (excludes refuelling/loading etc). Now this owrks out at an average speed of 78km/h, comfortably under the 81km/h average speed that the cops said was maximum a truck could achieve by doing 90 max and slowing down for small towns. Most people would be familiar with the very alrge hills on this route were you would be climbing at say 30km/h for quite a few places. But most of the journey is really on cruise control on boring relatively easy straightish state highway. See the analogy, a big fat dirty slow truck achieves a good average speed by keeping on the move and although goes very slow at times, most of the journey is above the average (78) so makes up for slow bits.
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