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      Question

      The speed of a boat in still water is 10.5 times the

      speed of the stream. If the difference between the upstream and downstream speed of the boats is 26 km/hr, then find the time taken by the boat to travel 494 km in upstream.
      A 5 hours Correct Answer Incorrect Answer
      B 2 hours Correct Answer Incorrect Answer
      C 4 hours Correct Answer Incorrect Answer
      D 6 hours Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the speed of the stream be ‘x’ km/hr Therefore, speed of the boat in still water = 10.5x km/hr Upstream speed of the boat = 10.5x – x = 9.5x km/hr Downstream speed of the boat = x + 10.5x = 11.5x km/hr According to the question, 11.5x – 9.5x = 26 => 2x = 26 => x = 13 Therefore, upstream speed of the boat = 9.5x = 123.5 km/hr Required time taken = 494/123.5 = 4 hours

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