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The problem asks:

*If 45 men can cultivate a field in 12 days, in how many days can 60 men cultivate the same field if they work at the same rate?*

This is an example of a work-rate problem, where more people working on the same task will reduce the time needed.

### Steps to solve:
1. The total amount of work done (in terms of man-days) is constant.
   - \( \text{Total Work} = 45 \, \text{men} \times 12 \, \text{days} = 540 \, \text{man-days} \)

2. If 60 men are working on the same task, the number of days they need to complete the task is calculated by:
   \[
   \text{Days} = \frac{\text{Total Work}}{\text{Number of Men}} = \frac{540}{60} = 9 \, \text{days}
   \]

So, 60 men can cultivate the field in **9 days**.

Would you like more details, or have any questions?

### Related Questions:
1. What if 30 men were working instead of 60? How many days would it take?
2. How does increasing the number of workers affect the time required for a task in general?
3. If 60 men worked for only 4 hours a day instead of a full day, how would that impact the total days required?
4. If 90 men worked on the field, how many days would they need to complete the task?
5. What formula can be used to calculate the days required if the number of men varies?

### Tip:
When the number of workers increases, the time required to complete a task decreases proportionally.

If 45 men can cultivate a field in 12 days, in how many days can 60 men cultivate the same field if they work at the same rate?

Learn how to solve a classic work-rate problem involving 45 men cultivating a field in 12 days. This solution explains how to determine the time it would take for 60 men to complete the same task at the same rate. Key concepts include proportional reasoning and inverse proportionality.

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