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Math Help - Optimization

  1. #1
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    Optimization

    A swimmer is at a point 500 meters from the closest point on a straight shoreline. She needs to reach a cottage located 1800 meters down shore from the closest point. If she swims at 4 meters per second and she walks at 6 meters per second, how far from the cottage should she come ashore so as to arrive at the cottage in the shortest time?

    I have no clue what to use for the primary and secondary equations. Your help would be greatly appreciated.
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  2. #2
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    Quote Originally Posted by Fred119 View Post
    A swimmer is at a point 500 meters from the closest point on a straight shoreline. She needs to reach a cottage located 1800 meters down shore from the closest point. If she swims at 4 meters per second and she walks at 6 meters per second, how far from the cottage should she come ashore so as to arrive at the cottage in the shortest time?

    I have no clue what to use for the primary and secondary equations. Your help would be greatly appreciated.
    scroll down to problem #9 ...

    http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/maxmindirectory/MaxMin.html
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  3. #3
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    Quote Originally Posted by skeeter View Post
    Thanks a lot, that page is extremely useful and will help me with my other problems too.
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