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A person took a trip of 224 miles by car in 3.5 hours, from North Carolina...

A person took a trip of 224 miles by car in 3.5 hours, from North Carolina to D. C., resulting in an average speed of 64 miles/hr. Prove that his car speed meter must register 64 miles/hr at some point of time during the trip. (you may use Intermediate Value Theorem or Prove your point by logical arguments)

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