In how many days can the same work be done

If 8 men or 12 women can do a piece of work in 25 days. In how many days can the same work be done by 6 men and 11 women?

  1. 10 days
  2. 12 days
  3. 15 days
  4. None of these
Anurag Mishra Professor Asked on 8th January 2016 in Maths.
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  • 1 Answer(s)

    Answer: (3) 15 days

    Explanation:-
    8 men can do a piece of work = 25 days
    Therefore, 1 man con do a piece of a work = 25 x 8
    = 200 days
    Then, 6 men can do a piece of work = 200/6
    Therefore, 6 men can do a piece of work in a day = 6/200

    12 women can do a piece of work = 25 days
    Therefore, 1 woman can do a piece of work = 25 x 12
    Then, 11 women can do a piece of work = 25 x 12/11
    Therefore, 11 women can do a piece of work in a day = 11/300

    Then, 6 men and 11 women can do together work = 6/200 + 11/300
    = (18 + 22)/600
    = 40/600
    = 4/60
    = 1/15

    So, 6 men and 11 women can do together work in 15 days.

    Hence, the correct answer is option (3) 15 days.

    Anurag Mishra Professor Answered on 9th January 2016.
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