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The motorist problem

In this analysis, we explore a time-speed-distance problem involving a motorcyclist who can complete a 900-mile journey in two hours less time by increasing her speed by 5 mph. Our hypothesis estimates her average speed at 50 mph. We derive and simplify the equation using distance and time to find the actual average speed required to meet the conditions of the problem. Our calculations confirm that with an increase in speed, the motorcyclist can effectively reduce travel time. Join us as we break down the details and intricacies of this fascinating problem.

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The motorist problem

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  1. The motorist problem By: The Marshmallows

  2. The question • The question is : A motorcyclist could’ve completed the 900-mile trip in two hours less time if he had averaged 5 miles faster . What would be her/his average speed?

  3. Hypothesis • Our hypothesis was a total 50 mph to complete it 2 hours faster.

  4. Figuring Out the Problem

  5. Figuring Out the Problem

  6. MODEL 1 Speed Difference in time traveled in hours

  7. The Equationspeed=distance/timeS+5mph=900 miles/(t-2hrs)where S= speed and T = time it took.

  8. Plugging in the answer:45+5=900 miles/(20-2)simplifying:50=900/18Which is correct!

  9. Questions and Comments

  10. The End

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