Question

    Two individuals, A and B, travel from point M to point N at

    different speeds. A takes 6 hours to complete the journey, while B takes 8 hours. The difference in their speeds is 4 km/h, with one traveling faster than the other. Determine the distance between points M and N.
    A 125 km Correct Answer Incorrect Answer
    B 155 km Correct Answer Incorrect Answer
    C 144 km Correct Answer Incorrect Answer
    D 180 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;

    Let B's speed = 'b' km/h,

    A's speed = (b + 4) km/h

    Time ratio = B : A = 8 : 6

    Speed ratio = 6 : 8

    Using the given speed difference,

    b = 18 km/h

    Distance = Speed × Time = 18 × 8 = 144 km

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