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Thread: Word Problem I'm Stuck On: The pig was 8 miles ahead when...

  1. #1

    Word Problem I'm Stuck On: The pig was 8 miles ahead when...

    Hi, I can't seem to figure out how to solve this problem. Can anyone explain it to me? Thanks!

    The pig was 8 miles ahead when the butcher started chasing it. If the butcher, traveling at three times the pig's speed, took 3. 25 hours to catch the pig, how far did the butcher travel?

  2. #2
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    Quote Originally Posted by Lizbeth View Post
    Hi, I can't seem to figure out how to solve this problem. Can anyone explain it to me? Thanks!

    The pig was 8 miles ahead when the butcher started chasing it. If the butcher, traveling at three times the pig's speed, took 3. 25 hours to catch the pig, how far did the butcher travel?
    Start naming variables:

    Butcher traveled = D

    Pig traveled = D - 8 (from the time butcher started to chase it)

    Butcher's speed = B → D = B * 3.25 ..................... (1)

    Pig's speed = B/3 → D - 8 = B/3 * 3.25 ................. (2)

    2 equations and 2 unknowns - solve it.
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

  3. #3
    Quote Originally Posted by Subhotosh Khan View Post
    Start naming variables:

    Butcher traveled = D

    Pig traveled = D - 8 (from the time butcher started to chase it)

    Butcher's speed = B → D = B * 3.25 ..................... (1)

    Pig's speed = B/3 → D - 8 = B/3 * 3.25 ................. (2)

    2 equations and 2 unknowns - solve it.
    Thank you very much.

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