1) If 15 men can reap the crops of a field in 28 days, in how many days will 5 men reap it?

To solve this problem, we can use the concept of "man-days." The idea is that the amount of work done is proportional to both the number of workers and the number of days they work.

### Step 1: Calculate the total amount of work in man-days.
- If 15 men can reap the crops in 28 days, the total amount of work is:
  \[
  \text{Total work} = 15 \text{ men} \times 28 \text{ days} = 420 \text{ man-days}
  \]

### Step 2: Determine the number of days required for 5 men to complete the work.
- We know the total work is 420 man-days, and we want to find out how many days \( x \) it will take for 5 men to complete this work:
  \[
  5 \text{ men} \times x \text{ days} = 420 \text{ man-days}
  \]

### Step 3: Solve for \( x \).
\[
x = \frac{420 \text{ man-days}}{5 \text{ men}} = 84 \text{ days}
\]

So, **5 men will take 84 days to reap the crops**.

Would you like further details on this solution, or do you have any other questions?

### Related Questions:
1. If 10 men can complete a task in 15 days, how many men would be needed to complete the same task in 5 days?
2. How many days will it take for 7 men to complete a task that 21 men can finish in 10 days?
3. If 20 workers can dig a trench in 6 days, how long will it take for 8 workers to dig the same trench?
4. If 30 men can paint a house in 12 days, how many men are required to paint the house in 8 days?
5. How long will it take for 12 men to complete a job if 6 men can do it in 24 days?

### Tip:
When dealing with work problems, remember that the total work done is typically measured in "man-days" or "man-hours," depending on the problem. This concept allows you to scale the number of workers and days accordingly.

If 15 men can reap the crops of a field in 28 days, in how many days will 5 men reap it?

Explore how to solve a work and time problem involving 15 men reaping crops in 28 days. This detailed solution explains the man-days concept and shows how to calculate the time required for 5 men to complete the same work. Ideal for students in Grades 6-8.

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