Answer :
Let's carefully analyze the given problem:
It appears that you meant to say:
"8 men or 12 women can finish a job in 25 days."
To find the total amount of work done by the men and women in those 25 days, we'll use the provided numerical results and break down the steps clearly.
### Step-by-Step Solution:
1. Total Work Done by Men:
- 8 men can complete the job in 25 days.
- To find the total amount of work done by these 8 men over 25 days, we assume a unit measurement of work. Each man works each day, thus:
Work done by one man in one day = 1 unit of work (for simplicity)
Total work done by 8 men in one day = [tex]\( 8 \text{ units} \)[/tex]
Since they work for 25 days, total work done by 8 men = [tex]\( 8 \text{ units/day} \times 25 \text{ days} = 200 \text{ units} \)[/tex].
2. Total Work Done by Women:
- 12 women can complete the same job in 25 days.
- Similarly, to find the total amount of work done by these 12 women over 25 days, we consider the same unit measurement:
Work done by one woman in one day = 1 unit of work
Total work done by 12 women in one day = [tex]\( 12 \text{ units} \)[/tex]
Since they work for 25 days, total work done by 12 women = [tex]\( 12 \text{ units/day} \times 25 \text{ days} = 300 \text{ units} \)[/tex].
### Summary:
- The total work done by 8 men in 25 days is 200 units.
- The total work done by 12 women in 25 days is 300 units.
Thus, we have:
- Work done by 8 men in 25 days: 200 units
- Work done by 12 women in 25 days: 300 units
These results summarize the total work completed by the two groups over the specified duration.
It appears that you meant to say:
"8 men or 12 women can finish a job in 25 days."
To find the total amount of work done by the men and women in those 25 days, we'll use the provided numerical results and break down the steps clearly.
### Step-by-Step Solution:
1. Total Work Done by Men:
- 8 men can complete the job in 25 days.
- To find the total amount of work done by these 8 men over 25 days, we assume a unit measurement of work. Each man works each day, thus:
Work done by one man in one day = 1 unit of work (for simplicity)
Total work done by 8 men in one day = [tex]\( 8 \text{ units} \)[/tex]
Since they work for 25 days, total work done by 8 men = [tex]\( 8 \text{ units/day} \times 25 \text{ days} = 200 \text{ units} \)[/tex].
2. Total Work Done by Women:
- 12 women can complete the same job in 25 days.
- Similarly, to find the total amount of work done by these 12 women over 25 days, we consider the same unit measurement:
Work done by one woman in one day = 1 unit of work
Total work done by 12 women in one day = [tex]\( 12 \text{ units} \)[/tex]
Since they work for 25 days, total work done by 12 women = [tex]\( 12 \text{ units/day} \times 25 \text{ days} = 300 \text{ units} \)[/tex].
### Summary:
- The total work done by 8 men in 25 days is 200 units.
- The total work done by 12 women in 25 days is 300 units.
Thus, we have:
- Work done by 8 men in 25 days: 200 units
- Work done by 12 women in 25 days: 300 units
These results summarize the total work completed by the two groups over the specified duration.