Solve for Average Speed: Jogging and Driving Distance Calculation

AI Thread Summary
To solve for the car's speed needed to achieve an average speed of 22 km/hr over a total distance of 24 km, first calculate the total time required. The jogging time for 8.0 km at 9.5 km/hr is approximately 0.842 hours. The remaining distance of 16 km must then be covered in the time left to maintain the average speed. By determining the total time and subtracting the jogging time, the required driving speed can be calculated. The solution emphasizes the relationship between distance, speed, and time in achieving the desired average speed.
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Homework Statement



You jog at 9.5 km/hr for 8.0 km. You jump into a car and drive 16 km. What speed of the car do you need to cover a total distance of 24 km with an average speed of 22 km/hr

Homework Equations





The Attempt at a Solution

 
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Average speed = Total distance/Total time.
In the problem total distance and average speed. Find the total time.
Find the jogging time. From that find the driving time.
Driving distance is given. You can find the driving time. From that find the velocity of the car.
 

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