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

To solve this, we can use the concept of "work done" which is a product of the number of workers and the number of days. Since the total work remains constant, we can set up a proportion:

\[
\text{Workers} \times \text{Days} = \text{Constant Work}
\]

Given that 10 workers can complete the job in 24 days, the total work is:

\[
10 \times 24 = 240 \, \text{worker-days}
\]

Let \( x \) be the number of workers required to complete the job in 18 days. The total work must still equal 240 worker-days, so:

\[
x \times 18 = 240
\]

Solving for \( x \):

\[
x = \frac{240}{18} = 13.33
\]

Since the number of workers must be a whole number, we round up to the nearest whole number, so:

\[
x = 14 \, \text{workers}
\]

Thus, **14 workers** are required to complete the job in 18 days.

Would you like more details or have any questions?

Here are 5 related questions for you to consider:
1. If 12 workers can complete a job in 30 days, how many workers are needed to finish it in 15 days?
2. If a job requires 20 worker-days, how long will it take 4 workers to complete the job?
3. How many days will 16 workers take to complete a job if 8 workers can do it in 12 days?
4. If 6 workers can finish a task in 10 days, how many workers are required to finish it in 5 days?
5. What is the relationship between workers and time in terms of efficiency?

**Tip:** Always consider rounding up when calculating workers, since a fraction of a worker isn't practical.

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

Find out how many workers are needed to complete a job in 18 days if 10 workers can finish it in 24 days. Learn the key concept of work-efficiency, using proportions and algebra to solve this problem. Suitable for middle school students (Grades 6-8).

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