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Math Help - Need help on maximum/minimum values

  1. #1
    jsl
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    Need help on maximum/minimum values

    Hello!

    I am having some trouble on one of my homework problems. I can't figure out what the equation should be. Any help you can give will be wonderful!!

    A racer can cycle around a circular loop at the rate of 2 revolutions per hour. Another cyclist can cycle the same loop at the rate of 5 revolutions per hour. If they start at the same time (t=0), at what first time are they farthest apart?

    Thanks!
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  2. #2
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    Quote Originally Posted by jsl View Post
    Hello!

    I am having some trouble on one of my homework problems. I can't figure out what the equation should be. Any help you can give will be wonderful!!

    A racer can cycle around a circular loop at the rate of 2 revolutions per hour. Another cyclist can cycle the same loop at the rate of 5 revolutions per hour. If they start at the same time (t=0), at what first time are they farthest apart?

    Thanks!
    see the following "very similar" problem ...

    http://www.mathhelpforum.com/math-he...s-problem.html
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  3. #3
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    Quote Originally Posted by jsl View Post
    Hello!

    I am having some trouble on one of my homework problems. I can't figure out what the equation should be. Any help you can give will be wonderful!!

    A racer can cycle around a circular loop at the rate of 2 revolutions per hour. Another cyclist can cycle the same loop at the rate of 5 revolutions per hour. If they start at the same time (t=0), at what first time are they farthest apart?

    Thanks!

    As both cyclists are getting apart from each other at a velocity of 3 rev./h and they'll be the farthest apart when they'll be at the extreme points of a diameter of the circular loop, you only have to calculate when the faster cyclist will complete one half of a loop with respect to the slower one...

    Tonio
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