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12 men take 36 days to do a work while 12 women complete 3/4th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work?
  • a)
    6 days
  • b)
    27 days
  • c)
    12 days
  • d)
    Data Inadequate 
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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12 men take 36 days to do a work while 12 women complete 3/4th of the ...
Given:
12 men take 36 days to complete a work.
12 women complete 3/4th of the same work in 36 days.

To find:
In how many days can 10 men and 8 women together complete the same work?

Solution:
Let's first find the work efficiency of the men and women separately.

Work efficiency of 12 men:
We are given that 12 men complete the work in 36 days.
So, the work efficiency of 12 men can be calculated as:
Work efficiency of 12 men = 1/36 (work done in 1 day)

Work efficiency of 12 women:
We are given that 12 women complete 3/4th of the work in 36 days.
So, the work efficiency of 12 women can be calculated as:
Work efficiency of 12 women = (3/4)/(36) = 1/48 (work done in 1 day)

Now, let's find the total work efficiency when 10 men and 8 women work together.

Total work efficiency when 10 men work together = 10 * (1/36) = 10/36 (work done in 1 day)
Total work efficiency when 8 women work together = 8 * (1/48) = 8/48 (work done in 1 day)

Total work efficiency when 10 men and 8 women work together = (10/36) + (8/48) = (40 + 8)/288 = 48/288 (work done in 1 day)

To find the number of days required to complete the work, we can use the formula:
Number of days = Total work / Work done in 1 day

Number of days required for 10 men and 8 women to complete the work = 1 / (48/288) = 288/48 = 6

Therefore, 10 men and 8 women together will complete the work in 6 days.

Hence, the correct answer is option (a) 6 days.
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12 men take 36 days to do a work while 12 women complete 3/4th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work?a)6 daysb)27 daysc)12 daysd)Data Inadequatee)None of theseCorrect answer is option 'B'. Can you explain this answer?
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