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Math Help - Speed and Distance

  1. #1
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    Speed and Distance

    A certain distance is covered at a certain speed.If half of this distance is covered in double the time, the ratio of two speeds is

    (a)4:1
    (b)1:4
    (c)2:1
    (d)1:2
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  2. #2
    MHF Contributor
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    Distance = Rate * Time

    The problem statement asks about the ratio of speeds, so it may be prudent to solve for speed.

    Rate1 = Distance / Time

    "If half of this distance is covered in double the time"

    Rate2 = (Distance/2) / (2*Time) = (Distance / Time)/4

    Now what?
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  3. #3
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    Ok, so the first speed can be expressed as x/y or 1. The second can be identified as 2x/.5y, or 4. So the ratio is 1 to 4.
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