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    Question

    A job is done by 15 men in 30 days and 30 women in 20 days. How many days will it take for 8 men and 12 women to finish the work?

    A 405/17 Correct Answer Incorrect Answer
    B 415/17 Correct Answer Incorrect Answer
    C 450/8 Correct Answer Incorrect Answer
    D 450/17 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    15 men× 30 days = 450 Women’s 1-day work = 450/(30× 20) = ¾ work (8 Men + 12 Women)’s 1-day work = 8 +12× ¾ = 17 Days taken by 8 M and 12 women to finish the work = 450/17 days Alternate Method: 15 Men can do this job in 30 days and 30 women can do this job in 20 days It means 45 men or 60 woemn can do this job in = 10 days So 8 Men and 12 women can do this job in = 10/{8/45 + 12/60} = 10/ {8/45+ 1/5} = 10 /{17/45} = 450 /17

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