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Math Help - Another optimization problem assistance

  1. #1
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    Another optimization problem assistance

    At 2:30 pm, Bob heads north from an intersection at 120 km/h. Alvin is driving east at 96 km/h and reaches the same destination at 5:10 pm. When are they closest to each other.

    d(t)=\sqrt{(120t)^2+(256-96t)^2}

    Is that correct? The answer is supposedly 3:32 PM, so I'm not sure if I understood it incorrectly or if the book had a typo.

    Thanks for the assistance!
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  2. #2
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    t = 0 at 2:30

    minimizing the quantity (120t)^2 + (256-96t)^2 will also minimize it's square root.

    book is correct.
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  3. #3
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    Quote Originally Posted by skeeter View Post
    t = 0 at 2:30

    minimizing the quantity (120t)^2 + (256-96t)^2 will also minimize it's square root.

    book is correct.
    Ah, thanks! Missed that.
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