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    Question

    Priya travels from station β€˜M’ to station β€˜N’.

    If she moves at 45 km/h, she reaches 30 minutes early. If she moves at 30 km/h, she reaches 1 hour late. Find the distance between station β€˜M’ and station β€˜N’.
    A 128 km Correct Answer Incorrect Answer
    B 135 km Correct Answer Incorrect Answer
    C 180 km Correct Answer Incorrect Answer
    D 162 km Correct Answer Incorrect Answer

    Solution

    Let the distance between station β€˜M’ and station β€˜N’ be β€˜d’ km Let the correct time to travel be β€˜t’ hours According to the question, (d/30) = t + 1 And, (d/45) = t - 0.5 Or, (d/30) - (d/45) = 1 + 0.5 = 1.5 Or, (3d - 2d) Γ· 90 = 1.5 Or, d = 1.5 Γ— 90 = 135 Therefore, distance between station β€˜M’ and station β€˜N’ is 135 km.

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