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      Question

      The downstream speed of a boat is 8 km/hr more than its

      upstream speed and the ratio of the speed of the boat in still water to the speed of the stream is 9:4. Find the total time taken by boat to travel 39 km downstream and 25 km upstream? Section 2
      A 9 hrs Correct Answer Incorrect Answer
      B 5 hrs Correct Answer Incorrect Answer
      C 6 hrs Correct Answer Incorrect Answer
      D 8 hrs Correct Answer Incorrect Answer
      E 7 hrs Correct Answer Incorrect Answer

      Solution

      Let the speed of boat in still water be x km/hr and that of stream be y km/hr. ATQ, β‡’ Β (x + y) – (x – y) = 8 β‡’ Β y = 4 km/hr β‡’ Β x = 4 Γ— 9/4 = 9 km/hr Required time = [39/(9+4)] + [25/(9βˆ’4)] = 8 hr

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