To find: The average speed of the car from Chicago to Miami.
Explanation of Solution
Given information:
In going from Chicago to Atlant, a car averages
In going from Atlanta to Miami, the car averages
Atlanta is halfway between Chicago and Miami.
Calculation:
As per the given information −
In going from Chicago to Atlant, a car averages
In going from Atlanta to Miami, the car averages
Atlanta is halfway between Chicago and Miami. So, intuitively average speed of car between Chicago and Miami should be average of both average speeds i.e.
Let us suppose distance between Chicago and Miami is
Time taken by car from Chicago to Atlanta would be
Time taken by car from Atlanta to Miami would be
Total time taken
Average speed of car from Chicago to Miami would be
Thus intuitive solution is incorrect.
Chapter A Solutions
Precalculus
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