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    Question

    The speed of ‘A’ and ‘B’ is 65 km/hr and 40 km/hr, respectively. If the distance covered by ‘A’ in ‘x’ hours is 325 km more than that by ‘B’ in the same time, then find the value of ‘x’.

    A 20 hours Correct Answer Incorrect Answer
    B 10 hours Correct Answer Incorrect Answer
    C 13 hours Correct Answer Incorrect Answer
    D 12 hours Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    If the time is same, then the ratio of the speeds is equal to the ratio of the distance covered
    Therefore, ratio of the distance covered by ‘A’ and ‘B’ = 65:40 = 13:8
    Let the distance covered by ‘A’ and ‘B’ be 13y km and 8y km, respectively
    According to the question,
    13y – 8y = 325
    Or, y = 325/5 = 65
    Therefore, distance coved by ‘A’ = 13y = 845 km
    Time taken by ‘A’ = x = 845/65 = 13 hours

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