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    Question

    The distance between two points 'E' and 'F' is 2,100 km.

    Vikram and Sameer can cover the distance between 'E' and 'F' in 42 hours and 35 hours, respectively. If Vikram and Sameer start from point 'E' at 11:00 AM and 1:00 PM, respectively, then at what time and distance from point 'E' will they meet each other?
    A 520 km Correct Answer Incorrect Answer
    B 600 km Correct Answer Incorrect Answer
    C 900 km Correct Answer Incorrect Answer
    D 750 km Correct Answer Incorrect Answer

    Solution

    ATQ, Speed of Vikram = (2,100/42) = 50 km/h Speed of Sameer = (2,100/35) = 60 km/h Distance covered by Vikram in 2 hours (from 11:00 AM to 1:00 PM) = 50 X 2 = 100 km Relative speed of Sameer w.r.t. that of Vikram = 60 - 50 = 10 km/h Time taken by them to meet each other = (100/10) = 10 hours So, required time = 1:00 PM + 10 hours = 11:00 PM Required distance = 60 X 10 = 600 km

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