SOLUTION: Please explain: A cross-country skier reaches the 10-km mark of a race 40 min after reaching the 3-km mark. Find and interpret the speed (average rate of change) of the skier in k

Algebra ->  Expressions-with-variables -> SOLUTION: Please explain: A cross-country skier reaches the 10-km mark of a race 40 min after reaching the 3-km mark. Find and interpret the speed (average rate of change) of the skier in k      Log On


   



Question 1139078: Please explain:
A cross-country skier reaches the 10-km mark of a race 40 min after reaching the 3-km mark. Find and interpret the speed (average rate of change) of the skier in km per hr.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The skier covered the distance of 7 kilometers between the 3-km mark and 10-km mark in 40 minutes.


40 minutes = 2%2F3 of an hour.


Therefore, the average rate of the skier is the ratio


    average rate = distance%2Ftime = 7%2F%28%282%2F3%29%29 = %287%2A3%29%2F2 = 21%2F2 = 11.5 miles per hour.


Answered, solved, completed and explained.


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The note of significant importance :

    The combination of words "average rate of change"  is not a synonym to "average speed" or "average rate". 


    This combination of words "average rate of change" is never the term of usage, when you talk about 
    "average speed" or "average rate of movement".


    The only right and correct terms in this case are "average rate" or "average speed".


    Watch your language !


    If you use incorrect terms, you demonstrate that you don't know a standard terminology.