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    Question

    If a group of 12 boys and 18 girls together can complete

    a task in 24 days, and a team of 6 girls alone can finish the same task in 96 days, how long will it take for 48 boys to finish the entire task on their own?
    A 40 Correct Answer Incorrect Answer
    B 24 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 45 Correct Answer Incorrect Answer

    Solution

    ATQ;
    Task done by 6 girls in 1 day = 1/96

    Task done by 18 girls in 1 day = 3/96 = 1/32

    Task done by 12 boys = 1/24 – 1/32 = 1/96

    Task done by 48 boys = 4/96 = 1/24

    Hence, required time = 24 days

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