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Math Help - Average speed problem

  1. #1
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    Question Average speed problem

    A cyclist travels from Paris to the Louvre at an average speed of x km/h.
    find the time taken in term of x ?

    On his return journey from louvre to Paris, he decreases his average speed by 3 km/h.

    Find the time taken in return journey in terms of x ?

    if the difference between the times is one hour 20 minutes,

    find the value of x ?
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  2. #2
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    Re: Average speed problem

    First of all, how far away is Paris from the Louvre?
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    Re: Average speed problem

    I was under the impression that the Louver was in Paris!
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    Re: Average speed problem

    Quote Originally Posted by HallsofIvy View Post
    I was under the impression that the Louver was in Paris!
    As was I, I just expected that the OP meant something like the distance between the Louvre to the centre of Paris...
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  5. #5
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    Re: Average speed problem

    let the distance = d

    x = \frac{d}{t_1} \implies t_1 = \frac{d}{x}

    t_2 = \frac{d}{x-3}

    t_1 - t_2 = \frac{d}{x} - \frac{d}{x-3} = \frac{4}{3}

    plug in d (once you find out what it is) and solve for x
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