If a certain job can be finished by 18 workers in 26 days. How many workers are needed to finish job in 12 days?

This problem involves using the concept of inverse proportionality. If the amount of work remains constant, the number of workers required to complete the job is inversely proportional to the time given to complete it. This can be solved using the formula:

\[
\text{Workers}_1 \times \text{Days}_1 = \text{Workers}_2 \times \text{Days}_2
\]

Where:
- \(\text{Workers}_1 = 18\)
- \(\text{Days}_1 = 26\)
- \(\text{Workers}_2\) is the unknown
- \(\text{Days}_2 = 12\)

Substitute the values into the equation:

\[
18 \times 26 = \text{Workers}_2 \times 12
\]

Now, solve for \(\text{Workers}_2\):

\[
\text{Workers}_2 = \frac{18 \times 26}{12} = \frac{468}{12} = 39
\]

Thus, **39 workers** are needed to finish the job in 12 days.

Would you like more details or have any questions?

Here are 5 related questions:
1. If only 9 workers are available, how many days will it take to complete the job?
2. How many workers are needed if the job must be finished in 15 days?
3. What if 20 workers are available, how long will it take them to finish the job?
4. If the number of workers doubles, how does that affect the time required?
5. If 39 workers can complete the job in 12 days, how many workers would be needed to finish the job in 8 days?

**Tip:** When dealing with work-related problems, remember that workers and days are inversely proportional for a fixed amount of work.

Discover how many workers are needed to finish a job in 12 days using inverse proportionality. Solve the problem involving 18 workers finishing the job in 26 days and find out how many workers are needed for a 12-day completion. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation