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      Question

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

      different speeds. Q takes 7 hours to complete the journey, while P takes 9 hours. The difference in their speeds is 5 km/h, with one traveling faster than the other. Determine the distance between points X and Y.
      A 125.50 km Correct Answer Incorrect Answer
      B 157.50 km Correct Answer Incorrect Answer
      C 297.55 km Correct Answer Incorrect Answer
      D 180.55 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Let P's speed = 'a' km/h,

      Q's speed = (a + 5) km/h

      Time ratio = P: Q = 9 : 7

      Speed ratio = 7 : 9

      Using given speed difference,

      a = 17.50 km/h

      Distance = Speed × Time = 17.50 × 9 = 157.50 km

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