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      Question

      A boat travels 48 km against the current and 144 km with the current in a total of 9 hours. If the speed of the boat in still water exceeds the stream speed by 16 km/h, find the stream speed.

      A 4 km/hr Correct Answer Incorrect Answer
      B 7 km/hr Correct Answer Incorrect Answer
      C 12 km/hr Correct Answer Incorrect Answer
      D 18 km/hr Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the speed of the stream = x And the speed of the boat in still water = x + 16 48/(x + 16 − x) + 144/(x + 16 + x) = 9 48/16 + 144/(2x + 16) = 9 3 + 144/(2x + 16) = 9 144/(2x + 16) = 6 2x + 16 = 144/6 2x + 16 = 24 2x = 8 x = 4 The speed of the stream = 4 km/hr

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