Question

    If a group of 10 boys and 15 girls together can finish a

    task in 30 days, and a team of 5 girls alone can complete the same task in 120 days, how long will it take for 60 boys to complete the entire task on their own?
    A 40 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 45 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    Task done by 5 girls in 1 day = 1/120

    Task done by 15 girls in 1 day = 3/120 = 1/40

    Task done by 10 boys = 1/30 – 1/40 = 1/120

    Task done by 60 boys = 6/120 = 1/20

    Hence, required time = 20 days

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