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      Question

      Speed of a boat in still water to speed of boat in

      upstream is 12: 7. If the boat can travel 425 km in downstream in 5 hours, then find the time taken by the boat to cover 30 km in still water.
      A 30 minutes Correct Answer Incorrect Answer
      B 10 minutes Correct Answer Incorrect Answer
      C 45 minutes Correct Answer Incorrect Answer
      D 55 minutes Correct Answer Incorrect Answer

      Solution

      Let speed of boat in still water and speed of boat in upstream be ‘12x’ km/h and ‘7x’ km/h, respectively. Speed of stream = 12x – 7x = 5x km/h Speed of boat in downstream = 12x + 5x = 17 km/h So, 17x = 425/5 => x = 5 Speed of boat in still water = 12 × 5 = 60 km/h Desired time = 30/60 x 60 = 30 minutes

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