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Let's analyze the problem:

The project was originally planned to take 43 days with 17 workers. After 5 days, work stopped for \(x\) days due to an issue. To make up for lost time and still finish the project on time, 2 more workers are added. We need to find the value of \(x\).

Here are the steps to solve it:

1. **Calculate the total work**: 
   The total work needed to complete the project is:
   \[
   \text{Total Work} = 17 \times 43 \text{ (worker-days)}
   \]
   
2. **Work done in the first 5 days**: 
   In the first 5 days, 17 workers worked, so:
   \[
   \text{Work Done in 5 Days} = 17 \times 5
   \]
   
3. **Work to be completed after 5 days**: 
   After 5 days, the remaining work is:
   \[
   \text{Remaining Work} = 17 \times 43 - 17 \times 5 = 17 \times (43 - 5)
   \]
   
4. **Work after \(x\) days of pause**:
   When the project stops for \(x\) days, no work is done, but the time left to finish the project is reduced by \(x\). The new workforce is 19 workers (17 original + 2 extra).

5. **Remaining work must be completed in the remaining time**:
   After \(5 + x\) days, \(43 - 5 - x\) days remain. In this time, 19 workers will complete the rest of the work. So, the equation for remaining work is:
   \[
   19 \times (43 - 5 - x) = 17 \times (43 - 5)
   \]
   
6. **Solve the equation**:
   Now, solve this equation to find \(x\).

Let me calculate the value of \(x\).The value of \(x\) is 4. This means the project was stopped for 4 days due to the issue.

Would you like further clarification on any part of the solution? Here are some related questions to explore:

1. What if the number of workers wasn't increased? How would this affect the project timeline?
2. How many total worker-days were required to complete the project?
3. If the project had been stopped for 6 days instead, how many additional workers would be needed to finish on time?
4. What would happen if the number of initial workers was fewer, say 15 workers?
5. How would the formula change if the time stopped varied throughout the project?

**Tip**: For problems involving work and time, always consider the total work in terms of worker-days and how changes in workers or time affect completion.

Suatu proyek perbaikan jalan harus selesai selama 43 hari dengan pekerja sebanyak 17 orang. Setelah 5 hari pelaksanaan, proyek tersebut dihentikan selama x hari karena suatu masalah. Oleh sebab itu, dibutuhkan tambahan pekerja sebanyak 2 orang agar proyek dapat selesai tepat waktu. Jika kemampuan bekerja setiap orang dianggap sama, nilai x adalah ....

Learn how to solve a work and time problem where a road construction project was delayed and additional workers were added to finish on time. The problem involves calculating the number of days the project was delayed (x) and uses basic algebra and work-time equations. Suitable for students in Grades 9-12.

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