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  1. #1
    CLEP101's Avatar
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    Default Time and Distance question

    Car "A" is traveling at 50 miles an hour.
    Car "B" is traveling at 51 miles an hour.
    Car "B" is 1 mile behind care "A".

    How much time will it take for car B to be even with Car A at the current speed.
    How many miles will be traveled before car B will be even with Car A at the current speed.

    What are the answers, but also what is the formula to get the answers?

    Thanks in advance.
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  2. #2
    bluebooger is offline Count / Countess
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    Default

    been awhile since I've done this so I may be doing it wrong, but this is what I think

    the equation of a line is
    y = mx + b
    where m is the slope and b is the y intercept

    on the graph x is the hours and y is the miles

    why ?
    because the speed is

    miles
    -----
    hour

    and slope is

    change in y
    -----------
    change in x

    so miles must be y and hour must be x

    the equation for car A is
    y = mx + b
    y = 50x + 1

    we use 1 for the y intercept because car A has a one mile headstart
    so its starting point is not at the origin, but one mile ahead

    the equation for car B is
    y = 51x + 0
    or
    y = 51x
    we use 0 for the y intercept because car B is starting at point zero

    so if y = 51x in the 2nd equation, then substitute 51x for y in the first equation

    51x = 50x + 1

    subtract 50x from both sides
    1x = 1

    divide both sides by 1
    x = 1

    x is one so in one hour B catches up with A

    now watch somebody smart come along and show how this is completely wrong

  3. #3
    Flelm is offline Knight / Dame
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    It's right, but could be done without the line stuff.

    distance = time * velocity

    Car A: x = t * 51
    Car B: x - 1 = t * 50

    (Car B travels 1 mile less in the same amount of time)

    Two variables, two equations. You can do a number of solving methods, but I'll just substitute.

    (t*51) - 1 = t*50
    t-1 = 0
    t = 1

    Time is 1 hour.

    To find the distance, use t in either of the above equations.

    x = t * 51
    x = 1 * 51
    x = 51

    51 Miles.
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  4. #4
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    After reading both your posts I realized that I really really hate math. I don't know why that equation was bothering me, but it was and I couldn't get to the answer. Thanks to the both of you for helping me out.
    Excelsior College - DONE
    AAS-2009, BSLS-2010

    Thomas Edison State College - DONE
    BA in History-2011


    Texas A&M University Central Texas
    Master of Arts in History - 18/36 SH

    CLEPs Passed
    Spanish, Freshman Comp, English Comp w/ Essay, Social Science & Hist, Info Sys & Comp App, Intro Sociology, Prin of Mngmt, American Gov , US History I, US History II, Western Civ I, Western Civ II
    DSSTs Passed
    Civil War & Reconstruction, Rise & Fall of Soviet Union, History of Vietnam War, Intro Modern Middle East, Western Europe Since 1945, Drug and Alcohol, Here's to Your Hlth, Intro To Comp, Prin of Sup, Technical Writing, Prin of Physical Science I

    Quote: There are no stupid questions, only stupid people. "Mr. Garrison"

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