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    Question

    The speed of ‘A’ and ‘B’

    is 75 km/hr and 30 km/hr, respectively. If the distance covered by ‘A’ in ‘x’ hours is 225 km more than that by ‘B’ in the same time, then find the value of ‘x’.
    A 8 hours Correct Answer Incorrect Answer
    B 5 hours Correct Answer Incorrect Answer
    C 10 hours Correct Answer Incorrect Answer
    D 12 hours 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’ = 75:30 = 5:2
    Let the distance covered by ‘A’ and ‘B’ be 5y km and 2y km, respectively
    According to the question,
    5y – 2y = 225
    Or, y = 225/3 = 75
    Therefore, distance coved by ‘A’ = 5y = 375 km
    Time taken by ‘A’ = x = 375/75 = 5 hours

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