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      Question

      The downstream speed of a boat is 6 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 10:3. Find the total time taken by boat to travel 52 km downstream and 42 km upstream?
      A 9 hrs Correct Answer Incorrect Answer
      B 10 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) = 6 β‡’ Β y = 3 km/hr β‡’ Β x = 3 Γ— 10/3 = 10 km/hr Required time = [52/(10+3)] + [42/(10βˆ’3)] = 10 hr

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