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      Question

      A boat travels 150 km downstream in 6 hours. The

      difference between its downstream speed and upstream speed is 3 km/h. What is the ratio of the boat's speed in still water to the speed of the stream?
      A 11:12 Correct Answer Incorrect Answer
      B 20:21 Correct Answer Incorrect Answer
      C 47:3 Correct Answer Incorrect Answer
      D 17:3 Correct Answer Incorrect Answer

      Solution

      ATQ;
      Downstream speed = 150 Γ· 6 = 25 km/h
      Let boat speed in still water = b, stream speed = s
      Downstream = b + s = 25
      Upstream = b – s
      Difference between downstream and upstream = (b + s) – (b – s) = 2s = 3
      Hence s = 1.5
      Then b = 25 – s = 23.5
      Required ratio = 23.5 : 1.5 = 47 : 3

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