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      Question

      A boat takes 5 hours to cover 150 km in downstream. If

      the ratio of still water speed to downstream speed of boat is 3:5 respectively, then find the time taken by the boat to cover 144 km in upstream.
      A 18 hours Correct Answer Incorrect Answer
      B 16 hours Correct Answer Incorrect Answer
      C 24 hours Correct Answer Incorrect Answer
      D 14 hours Correct Answer Incorrect Answer
      E 20 hours Correct Answer Incorrect Answer

      Solution

      Downstream speed of the boat = (150/5) = 30 km/hr

      Let the downstream speed and still water speed of boat be 5x km/hr and 3x km/hr

      ATQ,

      5x = 30

      So, 'x' = 6

      Speed of boat in still water = 3 × 6 = 18 km/hr

      Speed of stream = 30 - 18 = 12 km/hr

      So, upstream speed of boat = 18 - 12 = 6 km/hr

      Therefore, required time = (144/6) = 24 hours

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