If 10 workers can complete a job in 24 days, how many workers are required to complete the same job in 18 days?

This problem can be solved using the concept of **work-rate**. The idea is that the total amount of work remains the same, and adjusting the number of workers changes how quickly the job can be finished.

### Step-by-step Solution:
1. **Find the total work**:  
   If 10 workers can complete a job in 24 days, the total amount of work is:  
   \[
   \text{Total Work} = \text{Number of Workers} \times \text{Number of Days} = 10 \times 24 = 240 \text{ worker-days}
   \]

2. **Determine the new number of workers**:  
   We want to finish the same amount of work (240 worker-days) in 18 days. Let \( x \) represent the required number of workers. The equation is:  
   \[
   \text{Total Work} = x \times 18
   \]

3. **Solve for \( x \)**:  
   \[
   240 = x \times 18
   \]  
   Solving for \( x \):  
   \[
   x = \frac{240}{18} = 13.\overline{3}
   \]

Since the number of workers must be an integer, we'll round up to the nearest whole number:  
\[
x = 14
\]

### Final Answer:
To complete the job in 18 days, **14 workers** are required.

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Would you like a detailed breakdown of each step or have any questions?

Here are some related questions for practice:

1. If 15 workers complete a job in 20 days, how many days would 10 workers need?
2. A job requires 200 worker-days. If 8 workers are assigned, how long will it take?
3. If 12 workers can finish a task in 30 days, how many workers would be needed to finish it in 15 days?
4. A project takes 360 worker-hours. How many workers are needed to complete it in 9 hours?
5. If 8 workers complete a task in 50 days, how many workers would be needed to finish it in 25 days?

**Tip**: The concept of "work-rate" is crucial in these types of problems. Always keep track of total work (e.g., worker-days, worker-hours) to maintain consistency.

Solve a classic work-rate problem: If 10 workers can finish a job in 24 days, how many workers are needed to complete it in 18 days? Learn the step-by-step solution, using key concepts like proportionality and work-rate. This problem is ideal for students in Grades 6-8.

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