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  • Question
  • If sum of upstream and downstream speed of a boat is 82 kmph, and the boat travels 105 km. upstream in 3 hr, Find the time taken by boat to cover 126 km downstream.


  • Options
  • A. 2.8 hrs
  • B. 2.7 hrs
  • C. 2.6 hrs
  • D. 2.5 hrs

  • Correct Answer
  • 2.7 hrs 

    Explanation

    Let Speed of boat in still water = b

    Let Speed of still water = w

    Then we know that,

    Speed of Upstream = U = boat - water

    Speed of Downstream = D = boat + water

    Given, U + D = 82

    b - w + b + w = 82

    2b = 82

    => b = 41 kmph

    From the given data,

    41 - w = 105/3 = 35

    w = 6 kmph

    Now,

    b + w = 126/t

    => 41 + 6 = 126/t

    => t = 126/47  = 2.68 hrs.

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

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