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If 8 boys and 12 women can do a piece of work in 25 days, in how many days can the work bedone by 6 boys and 11 women working together?
  • a)
    15 days
  • b)
    10 days
  • c)
    12 days
  • d)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If 8 boys and 12 women can do a piece of work in 25 days, in how many ...
The data is insufficient, since we only know that the work gets completed in 200 boy days and 300 women days.
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Most Upvoted Answer
If 8 boys and 12 women can do a piece of work in 25 days, in how many ...
Given:

8 boys + 12 women --> 25 days

To be found:

6 boys + 11 women --> ? days

Solution:

Let the total work be W.

Let the efficiency of each person be E.

Then,

Total efficiency of 8 boys and 12 women = 8E + 12E = 20E

Total time taken = 25 days

Total work done = W

So,

W = (20E) x 25

W = 500E

Now,

Efficiency of 1 boy = E/8

Efficiency of 1 woman = E/12

Total efficiency of 6 boys and 11 women = (6 x E/8) + (11 x E/12)

Simplifying,

Total efficiency of 6 boys and 11 women = (9E/4)

Let the number of days required by 6 boys and 11 women to complete the same work be D.

Then,

W = (9E/4) x D

Substituting the value of W from the first equation,

500E = (9E/4) x D

Solving for D,

D = (500 x 4)/9

D = 222.22 days

Therefore, the number of days required by 6 boys and 11 women to complete the same work cannot be determined.
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Community Answer
If 8 boys and 12 women can do a piece of work in 25 days, in how many ...
15 days
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If 8 boys and 12 women can do a piece of work in 25 days, in how many days can the work bedone by 6 boys and 11 women working together?a)15 daysb)10 daysc)12 daysd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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