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    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 25 km Correct Answer Incorrect Answer
    B 55 km Correct Answer Incorrect Answer
    C 96 km Correct Answer Incorrect Answer
    D 80 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Given: A takes 6 hours → speed = D / 6 B takes 8 hours → speed = D / 8 Difference in speeds = 4 km/h Equation: |D/6 - D/8| = 4 Common denominator: (4D - 3D) / 24 = 4 D / 24 = 4 D = 4 × 24 = 96

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