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  • Question
  • P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ?


  • Options
  • A. 3 km/hr
  • B. 4 km/hr
  • C. 5 km/hr
  • D. 6 km/hr

  • Correct Answer
  • 4 km/hr 

    Explanation

    Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.

     

    So, 24/x + 24/(7 - x) = 14

     

    x 2  - 98x + 168 = 0

     

    (x - 3)(x - 4) = 0 => x = 3 or 4.

     

    Since, P is faster than Q,

     

    so P's speed = 4 km/hr and Q's speed = 3 km/hr.

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

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