How Fast Must You Drive to Average 22 km/h Over 24 km?

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SUMMARY

The discussion centers on calculating the required average speed for a car to achieve an overall average speed of 22 km/h over a total distance of 24 km. The scenario involves jogging 8.0 km at 9.5 km/h followed by driving 16 km. The average speed is determined by the formula: average speed = total distance / total time. Participants concluded that the car must travel at a speed of 40 km/h to meet the average speed requirement.

PREREQUISITES
  • Understanding of average speed and average velocity concepts
  • Basic knowledge of distance, speed, and time relationships
  • Ability to perform calculations involving speed and time
  • Familiarity with the formula for average speed
NEXT STEPS
  • Review the formula for average speed and its applications
  • Explore real-world scenarios involving average speed calculations
  • Learn about the impact of varying speeds on overall average speed
  • Investigate related concepts such as instantaneous speed and velocity
USEFUL FOR

Students, educators, and anyone interested in physics or mathematics, particularly those studying motion and speed calculations.

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I have a question for anyone willing to help that I can't seem to figure out along with quite a few of my classmates:

-You jog at 9.5 km/h for 8.0 km, then you jump into a car and drive an additional 16 km. With what average speed must you drive your car if your average speed for the entire 24 km is to be 22 km/h?
 
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You need to show some work. How about you start by telling us what you know about average speed and average velocity.
 
I ended up figuring it out.
 

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