Question

    The distance between two points 'P' and 'Q' is 2,400 km. Karan and Mohit can cover the distance between 'P' and 'Q' in 40 hours and 32 hours, respectively. If Karan and Mohit start from point 'P' at 7:00 AM and 9:00 AM, respectively, then at what time and distance from point 'P' 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
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Speed of Karan = (2,400/40) = 60 km/h Speed of Mohit = (2,400/32) = 75 km/h Distance covered by Karan in 2 hours (from 7:00 AM to 9:00 AM) = 60 X 2 = 120 km Relative speed of Mohit w.r.t. that of Karan = 75 - 60 = 15 km/h Time taken by them to meet each other = (120/15) = 8 hours So, required time = 9:00 AM + 8 hours = 5:00 PM Required distance = 75 X 8 = 600 km

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