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    Question

    Atul takes ‘h’ hours to travel (1/5)ᵗʰ of the

    total distance at a speed of 12 km/h. If he had travelled the entire distance at an average speed of 15 km/h, the journey would have taken him (h + 6) hours. Determine the value of ‘h’.
    A 5 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let total distance be ‘d’ km

    So, 12 = (d/5h) -------- (I)

    And, 15 = {d/(h + 6)}-------- (II)

    By equating equation (I) and equation (II), we get,

    12 × 5h = 15 × (h + 6)

    Or, 12h = 3(h + 6)

    Or, 9h = 18

    Or, h = 2

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