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How fast is the distance between the cars changing at that moment?

July 22, 2010 by exoe  
Filed under Cars

1 Comment

Car A is traveling north on Highway 16 and car B is traveling west on Highway 83. Each car is approaching the intersection of these highways. At a certain moment, car A is 60 km from the intersection and traveling at 57 km/h while car B is 80 km from the intersection and traveling at 81 km/h. How fast is the distance between the cars changing at that moment?

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One Response to “How fast is the distance between the cars changing at that moment?”
  1. John says:
    July 22, 2010 at 2:20 pm

    in 1 hr car A travels 57km north and car B 81km west. The speed at which the distance between them changes is just found by pythagoras – sqrt (A^2 + B^2) because they are at right angles.
    ie
    result = sqrt (3249 + 6561) = SQRT (9810) = 99 kph.

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