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If 35 men can reap a field in 8 days, in how much days can 20 men can reap the same field?
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If 35 men can reap a field in 8 days, in how much days can 20 men can ...
Problem:

If 35 men can reap a field in 8 days, in how much days can 20 men can reap the same field?

Solution:

To solve this problem, we can use the concept of man-days. A man-day represents the amount of work one person can do in a single day.

Man-days:
- 35 men can reap the field in 8 days, so the total man-days required to complete the task is 35 * 8 = 280 man-days.

Calculating the number of days:
To find out how many days it would take for 20 men to reap the same field, we need to determine the number of man-days they can collectively achieve.

- Since we know that the total man-days required to reap the field is 280, we can divide it by the number of men to find out how many days it would take for 20 men.
- 280 man-days / 20 men = 14 days.

Answer:

Therefore, 20 men can reap the same field in 14 days.

Explanation:

When 35 men work together, they can reap the field in 8 days. This means that each of the 35 men contributes 1/8th of the work in a day.

Now, let's consider 20 men. Since there are fewer men, the total work done in a day will be less compared to when there were 35 men. So, each man's contribution will increase.

To find out the number of days it would take for 20 men to reap the same field, we need to divide the total man-days required (280 man-days) by the number of men (20 men). This will give us the number of days required.

By dividing 280 man-days by 20 men, we get 14 days. Therefore, it would take 20 men 14 days to reap the same field.

Summary:

- When 35 men work together, they can reap a field in 8 days.
- To find out how many days 20 men would take to reap the same field, we calculate the total man-days required and divide it by the number of men.
- In this case, 20 men would take 14 days to reap the field.
- The concept of man-days helps in determining the time required for a given number of men to complete a task.
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