Question

    Priya needs to travel from town 'X' to town 'Y'. If she

    drives at a steady speed of 60 km/h, she arrives 36 minutes early. However, if she drives at 40 km/h, she arrives 45 minutes late. What is the distance between town 'X' and town 'Y'?
    A 162 Correct Answer Incorrect Answer
    B 144 Correct Answer Incorrect Answer
    C 200 Correct Answer Incorrect Answer
    D 185 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the distance between towns 'X' and 'Y' be 'd' km

    Let the correct time to travel be 't' hours

    According to the question,

    (d/40) = t + (45/60) = t + 0.75

    And, (d/60) = t - (36/60) = t - 0.6

    Or, (d/40) - (d/60) = t + 0.75 - (t - 0.6)

    Or, (3d - 2d) ÷ 120 = 1.35

    Or, d/120 = 1.35

    Or, d = 1.35 × 120 = 162

    Therefore, the distance between town 'X' and 'Y' is 162 km.

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