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If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it.
  • a)
    12 days                    
  • b)
    10 days
  • c)
    11 days                    
  • d)
    9 days
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If 3 men or 4 women can plough a field in 43 days, how long will 7 men...
3 men or 4 women can plough the field in 43 days.

3 men = 4 women.

1 man = 4/3 women.

7 man = 28/3 women.

7 men and 5 women = 5 + (28/3) = 43/3 women.

4 women can plough the field in 43 days.

So, 

1 woman can plough in = 43 *4 days. 

Hence, 

43/3 women can plough = (43*4 *3) /43 = 12 days.
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Community Answer
If 3 men or 4 women can plough a field in 43 days, how long will 7 men...
Given:
- 3 men or 4 women can plough a field in 43 days

To find:
- How long will 7 men and 5 women take to plough it?

Solution:
Let's assume that the work to be done is 1 unit (field).

We know that:
- 3 men can plough 1 unit of field in 3*43 = 129 days (since 1 man will take 3 times more days than 3 men)
- 1 man can plough 1/129 units of field in 1 day
- 4 women can plough 1 unit of field in 4*43 = 172 days (since 1 woman will take 4 times more days than 4 women)
- 1 woman can plough 1/172 units of field in 1 day

Let's calculate the work done by 7 men and 5 women in 1 day:
- Work done by 7 men in 1 day = 7*(1/129) = 7/129 units
- Work done by 5 women in 1 day = 5*(1/172) = 5/172 units
- Total work done by 7 men and 5 women in 1 day = 7/129 + 5/172 = (1204+645)/(129*172) = 49/2216 units

Let's assume that the time taken by 7 men and 5 women to plough the field is x days. Then, we can say that:
- Work done by 7 men and 5 women in x days = 1 unit
- Work done by 7 men and 5 women in 1 day = 1/x units

Equating the two, we get:
1/x = 49/2216
x = 2216/49 = 45.14 days (approx)

Therefore, the closest option to the answer is 12 days (option A).
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If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it.a)12 days b)10 daysc)11 days d)9 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer?
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