Question

    Two individuals, A and B, are walking. Person A takes 1

    hour longer than person B to cover a distance of 84 km. However, if person A doubles their speed, they take 2 hours and 30 minutes less than person B to cover the same distance. Find the original speed of person B (in km/h).
    A 14 km/h Correct Answer Incorrect Answer
    B 12 km/h Correct Answer Incorrect Answer
    C 16 km/h Correct Answer Incorrect Answer
    D 18 km/h Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let speed of A and B be ‘x’ km/h and ‘y’ km/h respectively.
    According to question;
    84/x – 84/y = 1…………………..(1)
    And, 84/y – 84/2x = 5/2…………………(2)
    From equation (1) and (2) we get
    84/x – 1 – 84/2x = 5/2
    42/x = 5/2 + 1 = 7/2
    x = 12
    So, y = 14 km/h

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