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    Question

    The speed ratio of Renu and Meenu is 4:5, respectively.

    Renu travels a distance of 300 km from point 'A' to 'B', while Meenu covers the same distance but in the opposite direction, from 'B' to 'A'. Renu begins her journey at 9:00 AM, whereas Meenu starts at 10:30 AM. Given that the difference in their speeds is 4 km/hr, determine the time at which they will meet during their journey.
    A 6.10 pm Correct Answer Incorrect Answer
    B 6.20 pm Correct Answer Incorrect Answer
    C 6.30 pm Correct Answer Incorrect Answer
    D 4.30 pm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the speed of Renu and Meenu be 4x km/hr and 5x km/hr respectively.
    ATQ,

    5x - 4x = x = 4

    Speed of Renu = 16 km/hr

    Speed of Meenu = 20 kmhr

    Distance covered by Renu in 1.5 hours (9:00 AM to 10:30 AM) = 1.5 X 16 = 24 km

    Remaining distance = 300 - 24 = 276 km

    Time in which both will meet = {276 ÷ (16 + 20) }= 7 hours 40 minutes

    Therefore, required time = 10:30 + 7:40 = 18:10 = 6:10 PM

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