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  • Question
  • 'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ?


  • Options
  • A. 32.1 km
  • B. 15.23 km
  • C. 3.75 km
  • D. 32.1 m

  • Correct Answer
  • 3.75 km 

    Explanation

    Let 'd' be the distance between A and B
    K -time = d/10 + d/9 = 19d/90 hours
    L -time = 2d/12 = d/6 hours
    We know that, 10 min = 1/6 hours
    Thus, time difference between K and L is given as 10 minutes.
    => 19d/90 - d/6 = 1/6
    => (19d-15d)/90 = 1/6
    => 4d/90 = 1/6
    Thus,
    d= 15/4 km = 3.75 km.

    hence the distance between A and B is 3.75 km.

  • Tags: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO

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