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      Question

      A boat travels downstream at a speed that is (13/12)

      times its speed in still water. If the boat takes 3 hours to cover 132 km going upstream, how long will it take to travel 208 km downstream?
      A 5 hrs Correct Answer Incorrect Answer
      B 4 hrs Correct Answer Incorrect Answer
      C 3.5 hrs Correct Answer Incorrect Answer
      D 4.5 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the downstream speed of the boat and speed of the boat in still water be 13x km/hr and 12x km/hr, respectively Therefore, speed of the stream = downstream speed - speed of boat in still water Or, speed of stream = 13x - 12x = 'x' km/hr And, upstream speed of the boat = 12x - x = 11x km/hr Or, 11x = 44 Or, 'x' = 4 So, downstream speed of the boat = 13x = 13 X 4 = 52 km/hr Required time = 208 ÷ 52 = 4 hours

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