Question

    A train departs station 'Z' at 5:15 AM traveling at 90

    km/h. Another faster train leaves the same station at 7:00 AM traveling at 120 km/h. At what time will the second train overtake the first?
    A 12:15 PM Correct Answer Incorrect Answer
    B 8:24 AM Correct Answer Incorrect Answer
    C 7:20 PM Correct Answer Incorrect Answer
    D 6:00 AM Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Distance between the two trains when second train starts = 90 × 1.75 = 157.5 km

    Relative speed = 120 − 90 = 30 km/h

    Time taken to overtake = 157.5 / 30 = 5.25 hours = 5 hours and 15 minutes
    ‘Required time = 7:00 AM + 5 hours 15 minutes = 12:15 PM

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