Results 1 to 2 of 2

Math Help - track question.

  1. #1
    Junior Member
    Joined
    Apr 2007
    Posts
    43

    Question track question.

    Rachel is running around a track at a constant speed of 1.4m/sec. The 400m track is divided into equal lengths at points A, B, C, and D. If rachel starts at point M halfway between points A and B, and runs counterclockwise, after 30 minutes at what point (A, B, C, or D) will she be closet?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,802
    Thanks
    692
    Hello, jumpman!

    This is just simple arithmetic, isn't it?


    Rachel is running around a track at a constant speed of 1.4m/sec.
    The 400m track is divided into equal lengths at points A, B, C, and D.
    If Rachel starts at point M halfway between points A and B, and runs ccw,
    after 30 minutes, at what point (A, B, C, or D) will she be closest?

    The track is probably round or oval, but I'll make it square in my diagram.
    Code:
             50  M  50
         B*------*------*A
          |             |
          |             |
      100 |             | 100
          |             |
          |             |
          |             |
         C*-------------*D
                100

    She runs at 1.4 meters per second,
    . . or: .1.4 60 .= .84 meters per minute.

    In 30 minutes, she runs: .30 84 .= .2520 meters

    . . 2520 400 .= .6, remainder 120

    She runs six full laps, plus 120 meters beyond point M.
    . . This puts her 70 meters past point B and 30 meters before point C.

    Therefore, she is the closest to point C.

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Am I on the right track.
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: December 4th 2010, 01:20 PM
  2. Right track?
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: December 4th 2010, 12:38 PM
  3. Am I on the right track?
    Posted in the Trigonometry Forum
    Replies: 6
    Last Post: February 18th 2010, 02:49 PM
  4. Am I on the right track?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 30th 2009, 04:17 AM
  5. Am I on the right track here??
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 10th 2008, 12:02 PM

Search Tags


/mathhelpforum @mathhelpforum