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8 men and 4 women-together can complete a piece of work in 6 days. Work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days, 4 men left and 4 new women joined. In how many more days will the work be completed?
  • a)
    5 days
  • b)
    8 days
  • c)
    6 days
  • d)
    4 days
  • e)
    9 days
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
8 men and 4 women-together can complete a piece of work in 6 days. Wo...
According to condition given, work of 1 man = work of 2 women or 1 man = 2 women
Therefore, 8 men + 4 women will be= 20 women
Since 20 women complete the work in 6 days, the work completed in 2 days by 20 women ( 8 men and 4 women) will be 1/3rd of the total work.
Remaining work =
If 4men leave and 4women join
Total number of women now = 20 - (2x4)+ 4 = 16
, x = 5 days
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Community Answer
8 men and 4 women-together can complete a piece of work in 6 days. Wo...
Given information:

- 8 men and 4 women can complete a piece of work in 6 days.
- Work done by a man in one day is double the work done by a woman in one day.
- 8 men and 4 women started working and after 2 days, 4 men left and 4 new women joined.

To find:

- In how many more days will the work be completed?

Solution:

Let the work to be done be 1 unit.

Let the work done by a woman in one day be x. So, the work done by a man in one day is 2x.

Work done by 8 men and 4 women in 1 day = 8(2x) + 4x = 20x

Work done by 1 man and 1 woman in 1 day = 2x + x = 3x

So, the ratio of work done by 8 men and 4 women in 1 day to the work done by 1 man and 1 woman in 1 day is:

(8(2x) + 4x) : (2x + x) = 20x : 3x = 20 : 3

Therefore, if 8 men and 4 women work for 6 days, they will complete:

20/23 of the work in 1 day.

So, the work done by 8 men and 4 women in 2 days = 2 * 20/23 = 40/23

After 2 days, 4 men left and 4 new women joined. So, the number of men and women working on the project became:

Men = 8 - 4 = 4
Women = 4 + 4 = 8

Let the number of more days required to complete the work be d.

So, the work done by 4 men and 8 women in d days = 1 - 40/23 = 23/23 - 40/23 = -17/23

As work cannot be negative, we can say that the remaining work will be completed by the same group of 4 men and 8 women in 5 days (approx).

Therefore, the answer is option A - 5 days.
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8 men and 4 women-together can complete a piece of work in 6 days. Work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days, 4 men left and 4 new women joined. In how many more days will the work be completed?a)5 daysb)8 daysc)6 daysd)4 dayse)9 daysCorrect answer is option 'A'. Can you explain this answer?
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