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Thread: Distance Between Two Drivers

  1. #1
    Super Member harpazo's Avatar
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    Distance Between Two Drivers

    Steve drove from place A to place B at an average speed at 50 km/hr. At the same time, Joseph drove from place B to place A at an average speed at 60 km/hr using the same route. If the distance between A and B were 300 km, what is the distance between Steve and Joseph after 1.5 hrs?

    Steve:

    rate = 50km/hr

    time = x

    Distance = 300 km

    Joseph:

    rate = 60 km/hr

    time = x

    Distance = 300 km

    Is this correct so far? I get confused in terms of the given time of 1.5 hours.
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  2. #2
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    Re: Distance Between Two Drivers

    Too tired to draw a diagram?

    A(Steve)@50...............>1.5hr---------?---------1.5hr<............................@60(Joseph)B
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  3. #3
    MHF Contributor MarkFL's Avatar
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    Re: Distance Between Two Drivers

    I'd look at this as the distance between Steve and Joseph decreasing at a rate of 110 kph. And so with distance between then d in km and time t in hours:

    $\displaystyle d=|300-110t|$
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  4. #4
    Super Member harpazo's Avatar
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    Re: Distance Between Two Drivers

    Quote Originally Posted by MarkFL View Post
    I'd look at this as the distance between Steve and Joseph decreasing at a rate of 110 kph. And so with distance between then d in km and time t in hours:

    $\displaystyle d=|300-110t|$
    d = [300 - 110t]

    Let t = 1.5

    Doing so, I get 135 miles between the two drivers.
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