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      Question

      When travelling with the current, a man takes 3 hours to

      cover the distance that he would've covered in 9 hours while travelling against the current. If the current flows at 12 km/h, then find the time taken by the boat to cover 48 km in still water.
      A 160 minutes Correct Answer Incorrect Answer
      B 144 minutes Correct Answer Incorrect Answer
      C 120 minutes Correct Answer Incorrect Answer
      D 100 minutes Correct Answer Incorrect Answer
      E 180 minutes Correct Answer Incorrect Answer

      Solution

      Let the speed of the boat in still water be 'x' km/hr Therefore, distance covered in upstream = 9 X (x - 12) km Also, distance covered in downstream = 3 X (x + 12) km According to the question, 9 X (x - 12) = 3 X (x + 12) Or, {(x + 12)/(x - 12)} = (9/3) = (3/1) Or, x + 12 = 3x - 36 Or, 2x = 48 => 'x' = 24 So, speed of the boat in still water = 24 km/h So, required time = (48/24) X 60 = 120 minutes

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