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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