Question

    If a group of 8 boys and 12 girls can complete a task in 40

    days, and a team of 4 girls alone can finish the same task in 80 days, how long will it take for 32 boys to finish the entire task on their own?
    A 40 Correct Answer Incorrect Answer
    B 24 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 45 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    Task done by 4 girls in 1 day = 1/80

    Task done by 12 girls in 1 day = 3/80 = 1/26.67

    Task done by 8 boys = 1/40 – 1/26.67 = 1/120

    Task done by 32 boys = 4/120 = 1/30

    Hence, required time = 30 days

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