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Thread: Need help with a math puzzle

  1. #1
    Jun 2017

    Need help with a math puzzle

    A fishing boat leaves a dock at noon and travels due west at 40 km/h. A second boat leaves the same dock 20 minutes later and travels due south at 51 km/h. At what time, to the nearest minute, will the two boats be 116 km apart?
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  2. #2
    MHF Contributor
    Nov 2010

    Re: Need help with a math puzzle

    $\sqrt{\left(\dfrac{2t}{3}\right)^2+\left(\dfrac{5 1(t-20)}{60}\right)^2} = 116$

    Solve for $t$. That will be the number of minutes past noon. Only the positive result makes sense, so 1:59 pm.
    Last edited by SlipEternal; Jun 29th 2017 at 08:39 PM.
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