Calculus

At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 24 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)

answer with explanation please because I got the formula wrong. Thanks

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  1. I did almost the same question yesterday ....

    After the initial definitions, I would get:

    d^2 = (50+16t)^2 + (24t)^2
    at 7 pm, t = 7
    d^2 = 26244+54468
    d = 284.099

    2d dd/dt = 2(50+16t)(16) + 2(24t)(24)
    dd/dt = ((50+16t)(16) + (24t)(24) )/d

    sub in t = 7 and d = 284.099 and find dd/dt

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