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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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