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    Question

    Train 'X' departed from Chennai to Hyderabad at 7:00 a.m.

    Train 'Y' left Hyderabad for Chennai at 9:00 a.m., traveling at 65 km/h. They crossed each other at 4:00 p.m. If the total distance between Chennai and Hyderabad is 760 km, find the speed of train 'X'.
    A 40.22 km/h Correct Answer Incorrect Answer
    B 53.33 km/h Correct Answer Incorrect Answer
    C 73.33 km/h Correct Answer Incorrect Answer
    D 33.88 km/h Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the speed of train 'X' be 'x' km/h

    Distance covered by train 'X' in first 2 hours = 2 × x = 2x km

    Time both trains travelled together = 7 hours (from 9:00 a.m. to 4:00 p.m.)

    ATQ;

    7 × (65 + x) = 760 - 2x

    Or, 455 + 7x = 760 - 2x

    Or, 305 = 9x

    So, x = 33.88

    So, speed of train 'X' = 33.88 km/h

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