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      Question

      Speed of a boat in still water is three times the speed

      of the boat in upstream. If the boat takes 46 minutes to cover 23 km in downstream, then find the speed of the boat in still water.
      A 15 km/h Correct Answer Incorrect Answer
      B 13 km/h Correct Answer Incorrect Answer
      C 18 km/h Correct Answer Incorrect Answer
      D 27 km/h Correct Answer Incorrect Answer

      Solution

      Let speed of the boat in still water be ‘3x’ km/h. Speed of the boat in upstream = 3x ÷ 3 = ‘x’ km/h Speed of the stream = 3x – x = ‘2x’ km/h Speed of the boat in downstream = 3x + 2x = ‘5x’ km/h ATQ; (23/46) × 60 = 30 So, 5x = 30 Or, x = 6 So, speed of the boat in still water = 3 × 6 = 18 km/h

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