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      Question

      A boat takes 8 hours to cover 144 km in downstream. If

      the ratio of still water speed to downstream speed of boat is 2:3 respectively, then find the time taken by the boat to cover 96 km in upstream.
      A 12 hours Correct Answer Incorrect Answer
      B 14 hours Correct Answer Incorrect Answer
      C 16 hours Correct Answer Incorrect Answer
      D 18 hours Correct Answer Incorrect Answer

      Solution

      Downstream speed of the boat = (144/8) = 18 km/hr

      Let the downstream speed and still water speed of boat be 3x km/hr and 2x km/hr

      ATQ,

      3x = 18

      So, 'x' = 6

      Speed of boat in still water = 2 × 6 = 12 km/hr

      Speed of stream = 18 - 12 = 6 km/hr

      So, upstream speed of boat = 12 - 6 = 6 km/hr

      Therefore, required time = (96/6) = 16 hours

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