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 If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?
  • a)
    4 days
  • b)
    5 days
  • c)
    3 days
  • d)
    2 days.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If 3 men or 6 women can do a piece of work in 16 days, in how many day...
3m = 6w

So 12m + 8w = 24w + 8w = 32w

Since 6 women can complete work in 16 days, 32 women can complete it in :

16 x 6/32 = 3 days.
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If 3 men or 6 women can do a piece of work in 16 days, in how many day...
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Community Answer
If 3 men or 6 women can do a piece of work in 16 days, in how many day...
Given:
- 3 men or 6 women can complete a piece of work in 16 days.

To find:
- In how many days can 12 men and 8 women complete the same piece of work?

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

Efficiency of 1 man = (1/16 * 6) = 3/8
Efficiency of 1 woman = (1/16 * 3) = 3/32

Now, let's find the combined efficiency of 12 men and 8 women.

Combined efficiency of 12 men = 12 * (3/8) = 9
Combined efficiency of 8 women = 8 * (3/32) = 3/4

Total combined efficiency = 9 + 3/4 = 39/4

Now, let's find the number of days required to complete the work.

Number of days = Total work / Total efficiency

We know that 3 men or 6 women can complete the work in 16 days. So, the total work done by them in 1 day = 1/16

Total work done by 12 men and 8 women in 1 day = (12 * 3/8) + (8 * 3/32) = 39/4

Number of days = (1/16) / (39/4) = 4/39

Therefore, 12 men and 8 women can complete the work in 4/39 days, which is approximately equal to 3 days.

Answer: Option (c) 3 days.
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If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?a)4 daysb)5 daysc)3 daysd)2 days.Correct answer is option 'C'. Can you explain this answer?
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