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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
23 Oct 2021

Given information

  • Total Distance =  
  • Speed=.
  • To find the average speed.

 

Step-by-step explanation

Step 1.

Determine the probelm.

The common misconception here is in calculating averages. It is often forgotten that speed is already a ratio (of distance and time).
The average of ratios leads to compound fractions.
 
Average speed is not always  , which might lead us to (wrongly) answer this with:  
 
Average speed is defined as  .
 
The total distance here is  ,covered in two equal stages (distance-wise).
But the times needed to cover these stages are not equal.

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