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  • Question
  • A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ?


  • Options
  • A. 180 km
  • B. 160 km
  • C. 140 km
  • D. 120 km

  • Correct Answer
  • 180 km 

    Explanation

    Speed in downstream = (14 + 4) km/hr = 18 km/hr;

    Speed in upstream = (14 ? 4) km/hr = 10 km/hr.

    Let the distance between A and B be x km. Then,

    x/18 + (x/2)/10 = 19 ? x/18 + x/20 = 19 ? x = 180 km.

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

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