MathematicsIf I walk at 3 km/hr. I miss a train by 2 minutes, if however I walk at 4 km/hr then I reach the station 2 minutes before the arrival of the train. How far do I walk to reach the station ?

If I walk at 3 km/hr. I miss a train by 2 minutes, if however I walk at 4 km/hr then I reach the station 2 minutes before the arrival of the train. How far do I walk to reach the station ?


  1. A
    34km
  2. B
    45km
  3. C
    54km
  4. D
    1km 

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    Solution:

    Let x be the distance which I walk to reach the station
    We know that time = distanceSpeed
    Therefore when I walk at a speed of 3 km/hr I reach the station 2 minutes late
    T=(x3+260) ……….(1)
    Here the extra 2 minutes is written as  260 because our calculation in done in terms of hours so we convert minutes to hours by dividing it by 60
    Here we add the two minutes as I take two minutes extra (in addition )
    Therefore when I walk at a speed of 4 km/hr I reach the station 2 minutes early
    T=(x4-260)……….(2)
    Here we subtract the two minutes as I reach 2 minutes earlier
    Equating (1) and (2)
    (x3+260) =(x4-260)
    (x3-x4)= -130-130
    4x-3x12=-230
    x12=-115
    x=-1215=-45km
    Since distance cannot be negative
    x=45km
    The correct option is 3
      Basic Algebraic Identities
     
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