9 builder did 12 days of job how much days need tosame 6 builder do

To solve this problem, we can use the concept of **work rate**. The work done is directly proportional to the number of builders and the number of days worked.

Here’s how we can break it down:

- 9 builders complete the job in 12 days.
- The total amount of work done is represented by **9 builders × 12 days** = **108 builder-days**.

Now, we want to find out how many days (**x**) it will take for 6 builders to complete the same amount of work:

- The equation becomes:  
  **6 builders × x days = 108 builder-days**

To find **x** (the number of days), we divide the total work by the number of builders:

\[
x = \frac{108}{6} = 18 \text{ days}
\]

So, it will take **6 builders 18 days** to complete the same job.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. What happens if you increase the number of builders to 12? How many days will it take?
2. If 4 builders were to work on this job, how many days would they need?
3. How do we calculate the work rate of a single builder in this scenario?
4. What if the 9 builders took 10 days instead of 12? How would that change the result?
5. If 6 builders worked for 9 days, how much of the job would they complete?

**Tip**: Always check if the number of workers or time is directly proportional when solving these types of problems.

9 builder did 12 days of job how much days need to same 6 builder do

Discover how to solve a work rate problem where 9 builders complete a job in 12 days, and find out how many days it would take for 6 builders to do the same job. This problem involves concepts like work rate, proportionality, and simple algebra, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation