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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 β€˜B’ and β€˜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 β€˜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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