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Not good in analyzing math problems XD

Discussion in 'General Discussion' started by Blade5406, Sep 25, 2009.

  1. Blade5406

    Blade5406 Well-Known Member

    Here's the given problem:

    One runner took 3 min 45 sec to complete a race and another runner required 4 min to run the same race. The rate of the faster runner is 0.4 m/sec more than the rate of the slower runner. Find their rates.

    EDIT: Show Solution. :)
     
  2. johncarl

    johncarl Well-Known Member

    x=first runner time
    y=second runner time

    lets skip the solution
    x 's rate is : 49 mp/h
    y 's rate is : 46 mp/h

    im confident ....dont crush my dreams
     
  3. Blade5406

    Blade5406 Well-Known Member

     
  4. Loonylion

    Loonylion Administrator Staff Member

    no-one can run at 40+ mph, thats the speed of a lion/tiger.

    showing working is critical.

    You need to work out the distance they ran in order to calculate their speeds.
     
  5. Suiseiseki

    Suiseiseki Well-Known Member

    Is it just me, or is this a comparative dervivation problem? I spent 5 minutes on it and filled two post-it notes. I'll need the distance.
     
  6. Kage56

    Kage56 Well-Known Member

    i was wondering how to find the distance, is it possible to solve w/o the distance?
     
  7. Natewlie

    Natewlie A bag of tricks

    You can find the distance as it gives you a total time and a rate of 0.4m/s.
     
  8. TirithRR

    TirithRR Well-Known Member

    You need to use a system of equations.

    Say x is the distance of the track.

    y = runner 1 speed
    z = runner 2 speed

    Turn all the time into seconds to be easier to work with.

    Runner 1 time = 225 seconds
    Runner 2 time = 240 seconds

    y = x/225
    z = x/240

    z = y + 0.4
    y = z - 0.4

    z - 0.4 = x/225
    z = (x/225) - 0.4

    x/240 = x/225 - 0.4

    Solve for x, and you have your distance.
    Then with the distance and time, just find the speeds of the two runners.
     
  9. TDSrock

    TDSrock New Member

    wow it realy doesent mater how fast they went they also could have just gone 1 and the other 0.8 shees its not a ball buster...