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    Question

    Train 'R' starts from Lucknow to Kanpur at 5:00 a.m. Train

    'S' starts from Kanpur to Lucknow at 7:00 a.m., traveling at 50 km/h. They cross each other at 12:00 noon. The distance between the cities is 550 km. Find the speed of train 'R'.
    A 42.86 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 'R' be 'x' km/h

    Distance covered alone = 2 × x = 2x

    Time together = 5 hours

    ATQ;

    5 × (50 + x) = 550 - 2x

    Or, 250 + 5x = 550 - 2x

    Or, 300 = 7x

    So, x = 42.86

    So, speed of train 'R' = 42.86 km/h

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