A piece of work can be done by 6 men and 5 women in 6 days or 3 men

A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in :
(a) 1 day
(b) 2 day
(c) 3 days
(d) 4 day

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    Answer: (c) 3 days 

    Solution:-
    To calculate the answer we need to get 1 man per day work and 1 woman per day work.

    Let 1 man 1 day work =x
    and 1 woman 1 days work = y.
    => 6x+5y = 1/6
    and 3x+4y = 1/10
    On solving, we get x = 1/54 and y = 1/90

    (9 men + 15 women)’s 1 days work =
    (9/54) + (15/90) = 1/3

    9 men and 15 women will finish the work in 3 days

    Hence, the correct answer is option (c) 3 days. 

    Anurag Mishra Professor Answered on 18th May 2016.
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