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      Question

      Two individuals, X and Y, travel from point P to point Q

      at different speeds. X takes 10 hours to complete the journey, while Y takes 12 hours. The difference in their speeds is 8 km/h, with one traveling faster than the other. Determine the distance between points P and Q.
      A 125 km Correct Answer Incorrect Answer
      B 155 km Correct Answer Incorrect Answer
      C 192 km Correct Answer Incorrect Answer
      D 180 km Correct Answer Incorrect Answer

      Solution

      ATQ;

      Let Y's speed = 'y' km/h,

      X's speed = (y + 8) km/h

      Time ratio = Y : X = 12 : 10

      Speed ratio = 10 : 12

      Using the given speed difference,

      y = 16 km/h

      Distance = Speed × Time = 16 × 12 = 192 km

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