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    Question

    Ramesh covered 300 km in total — part of the journey

    was by auto at 60 km/h, and the rest by walking at 6 km/h. If total time was 9.5 hours, what distance did he travel by auto?
    A 150 km Correct Answer Incorrect Answer
    B 500 km Correct Answer Incorrect Answer
    C 300 km Correct Answer Incorrect Answer
    D 270 km Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let distance by auto = d km

    Then, walking distance = 300 - d km

    Equation: d / 60 + (300 - d) / 6 = 9.5

    LCM of 60 and 6 = 60

    Or, (d + 10(300 - d)) / 60 = 9.5

    (d + 3000 - 10d)/60 = 9.5

    (3000 - 9d)/60 = 9.5

    Multiply both sides:

    3000 - 9d = 570

    9d = 2430

    d = 270

    Distance by auto = 270 km

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