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Math Help - distance word problem

  1. #1
    Junior Member
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    distance word problem

    Two city busses leave the terminal at the same time. The first bus drives north at 40 mph, and the second bus drives
    east at 30 mph. How fast is the distance between the busses changing after one half hour?
    A) 35 mph
    B) 50 mph
    C) 65 mph
    D) 22 mph

    How do I start solving this?
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  2. #2
    MHF Contributor
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    Re: distance word problem

    Hey salma.

    Think about how you define the derivatives with respect to both time and space.
    Then you have to find how .the distances changing with respect to each other.

    So you will have 1 distance rate in terms of time and another in terms of time and then you need to relate the two distances.

    Recall the chain rule:

    dy/dx = dy/dt * dt/dx.
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