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      Question

      The ratio between the time taken by a boat to cover a

      certain distance in upstream and the same distance in downstream is 5:1 respectively. The same boat can cover the same distance which was covered in upstream in still water in (35/3) hours. If the speed of the stream is 60 km/h, then find out the distance covered by the boat in downstream.
      A 980 km Correct Answer Incorrect Answer
      B 1500 km Correct Answer Incorrect Answer
      C 1200 km Correct Answer Incorrect Answer
      D 1050 km Correct Answer Incorrect Answer
      E None of the above Correct Answer Incorrect Answer

      Solution

      Let’s assume the speed of boat in still water and the speed of stream are ‘B’ and ‘C’ respectively. The ratio between the time taken by a boat to cover a certain distance in upstream and the same distance in downstream is 5:1 respectively. Let’s assume the distance covered in each stream by the boat is ‘d’ km. [d/(B-C)] / [d/(B+C)] = 5/1 (B+C)/(B-C) = 5/1 (B+C) = 5(B-C) B+C = 5B-5C 5B-B = 5C+C 4B = 6C 2B = 3C If the speed of the stream is 60 km/h. 2B = 3x60 = 180 B = 90 The same boat can cover the same distance which was covered in upstream in still water in (35/3) hours. d/90 = 35/3 d/30 = 35 d = 35x30 d = 1050 km The distance covered by the boat in downstream = 1050 km

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