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Math Help - Looking for Distance

  1. #1
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    Looking for Distance

    Most of the time, I find questions that give the distance and I either have to find the rate or time. This time, I found a question requesting distance. How do we solve such questions?

    In 7/5 hours time, Janet rode her bike at 14 miles per hour for 12 miles farther than Jack.

    Jack rode his bike at 16 miles per hour. How far did each ride their bicycles?
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  2. #2
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    Well, velocity (rate) equals distance / time. (One can remember this easily by noting that speed is measured in "miles per hour" or "km per hour" if unlike me you live in a rational country.) So 14 = Janet's distance / 7.5, or Janet's distance = 14*7.5.

    Now, whoever wrote the textbook could use a refresher course on communication skills, because the problem is posed fairly awkwardly. But it seems that one should just subtract 12 from Janet's distance to find Jack's distance. Who cares how fast he rode? I guess it is a red herring.
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  3. #3
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    Actually, now that I think about it again the problem as posed makes even less sense to me, because it seems like Janet shouldn't have been able to pass Jack.... Are you certain you typed the question exactly as it was written?
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  4. #4
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    typo

    There is obviously a typo here on my part.
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