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      Question

      A boat takes 14 hours to travel downstream from point P

      to point Q and then return to point R, which is located halfway between P and Q. If the speed of the stream is 8 km/h and the boat's speed in still water is 12 km/h, find the distance between points P and Q.
      A 80km Correct Answer Incorrect Answer
      B 100km Correct Answer Incorrect Answer
      C 75km Correct Answer Incorrect Answer
      D 85km Correct Answer Incorrect Answer
      E 90km Correct Answer Incorrect Answer

      Solution

      Downstream speed = 12 + 8 = 20kmph Upstream speed = 12 – 8 = 4kmph Distance between P and Q = x km x/20 + (x/2)/4 = 14 x = 80km

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