In how many days will 12 women working alone will finish the same job?

3 men and 6 women finish a job in 9 days while 2 men and 8 women finish it is 12 days. In how many days will 12 women working alone will finish the same job?

  1. 36 days
  2. 30 days
  3. 32 days
  4. 34 days
Harsh Vardhan Professor Asked on 29th July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 36 days
    Explanation:-
    Let the 1 man can do work in a day = X,
    and 1 woman can do work in a day = Y
    Then, 3 X + 6 Y = 1/9          ……………………….. (1)
    and  2 X + 8 Y = 1/12                ……………. .        (2)
    Solve, the equation (1) & (2),
    Y = 1/36 x 12
    A woman can do the work in a day = 1/432
    Then, 12 women can finish the work in a day = 12/432
    = 1/36
    12 women can finish the work = 36 days.
    Hence, the answer is (1) 36 days.

    Anurag Mishra Professor Answered on 29th July 2015.
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