If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 days

To solve this problem, we need to determine how many workers are required to complete the same amount of work in a different time frame.

### Given Information
- **15 workers** can build a wall in **48 hours**.
- We need to find how many workers are required to build the same wall in **30 days**.

### Step-by-Step Solution

1. **Convert 30 days to hours:**

   Since there are 24 hours in a day,  
   \[
   30 \text{ days} = 30 \times 24 \text{ hours} = 720 \text{ hours}
   \]

2. **Determine the total work in "worker-hours":**

   The work required to build the wall can be measured in terms of "worker-hours".  
   With 15 workers working for 48 hours, the total work in worker-hours is:
   \[
   \text{Total Work} = 15 \times 48 \text{ worker-hours} = 720 \text{ worker-hours}
   \]

3. **Calculate the number of workers needed for the new time frame (720 hours):**

   Let \( x \) be the number of workers required to complete the wall in 720 hours.  
   The total amount of work remains the same at 720 worker-hours, so we set up the equation:
   \[
   x \times 720 = 720
   \]

4. **Solve for \( x \):**

   Divide both sides by 720 to isolate \( x \):
   \[
   x = \frac{720}{720} = 1
   \]

### Conclusion

**1 worker** will be required to complete the wall in **30 days (720 hours)**.

This makes sense because if 15 workers can complete the work in 48 hours (a short time), then extending the time to 30 days (much longer) allows a single worker to complete the same amount of work.

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Would you like more details or have any other questions?

Here are some related questions you might find interesting:

1. If 8 workers can build a wall in 60 hours, how many workers are required to build it in 40 hours?
2. How many hours will it take for 5 workers to complete the wall if 10 workers can do it in 48 hours?
3. If the wall size is doubled, how many workers are needed to build it in 30 days?
4. If 20 workers work for only 6 hours a day, how many days will it take to build the wall?
5. How many workers are required to finish the wall in 1 week (7 days)?

**Tip:** Understanding "worker-hours" helps solve many problems involving work and time!

Learn how to calculate the number of workers needed to build a wall in 30 days, given that 15 workers can complete it in 48 hours. This problem involves understanding work and time relationships and applies the concept of worker-hours effectively. Suitable for high school students studying work problems in mathematics.

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