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Home Aptitude Time and Distance See What Others Are Saying!
  • Question
  • A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?


  • Options
  • A. 75 seconds
  • B. 90 seconds
  • C. 105 seconds
  • D. 135 seconds

  • Correct Answer
  • 105 seconds 

    Explanation
    Let the plane be at point A at t se
    conds and at point B
    after t + 30 seconds
    Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is
    diametrically opposite to the point P from where the angle is same.
    Now since the time taken to cover the full circ
    le is 3 minutes (180
    seconds), the time taken by the plane
    to reach the diametrically opposite point will be 90 seconds.
    So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds
     
     
  • Tags: Bank Exams

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