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The question in the image provides the following scenario:

- 42 workers are painting a wall with a target to complete the job in 36 days.
- On the 7th day, work stopped due to rain for a total of 3 days.
- On the 20th day, work stopped again for 2 days because they ran out of materials.
- Despite the delays, the job must be completed within the original 36-day deadline.
- The question asks how many additional workers are needed to meet the original deadline.

### Step-by-step Solution:

1. **Initial Work Rate**:
   - The total number of worker-days required to complete the job is \( 42 \text{ workers} \times 36 \text{ days} = 1512 \text{ worker-days} \).

2. **Work Halted**:
   - On the 7th day, the work stopped for 3 days due to rain. So, no work was done on days 7, 8, and 9. They resumed work on day 10.
   - On the 20th day, work stopped again for 2 days due to a lack of materials. So, no work was done on days 20 and 21. Work resumed on day 22.

   Therefore, a total of \( 3 + 2 = 5 \) days were lost due to these interruptions.

3. **Remaining Work Time**:
   - Since the total target was to finish in 36 days, the workers now only have \( 36 - 5 = 31 \) working days to finish the job.

4. **Work Rate Adjustment**:
   - The job requires 1512 worker-days in total, and after the delays, only 31 days remain.
   - Let \( x \) be the new required number of workers. The equation is:
   \[
   x \times 31 = 1512
   \]
   Solving for \( x \):
   \[
   x = \frac{1512}{31} \approx 48.77
   \]
   Since the number of workers must be a whole number, we round \( x \) up to 49 workers.

5. **Additional Workers Needed**:
   - Initially, there were 42 workers. Now, we need 49 workers, so the number of additional workers required is:
   \[
   49 - 42 = 7 \text{ additional workers}
   \]

### Answer:
The number of additional workers needed is **7**.

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Would you like more details or have any questions about the solution?

Here are 5 related questions to further your understanding:
1. What happens if only 6 additional workers are added instead of 7?
2. How would the answer change if there was only a 4-day delay instead of 5 days?
3. How can you calculate the daily productivity rate of each worker?
4. What if the target was extended by 5 days due to delays?
5. How would the solution differ if fewer than 42 workers started the project?

**Tip**: When calculating worker-days, always break down the total work required before adjusting for interruptions.

Dinding tembok tepi jalan akan di cat oleh 42 orang pekerja dengan target pekerjaan selesai dalam waktu 36 hari. Pada hari ke-7 pekerjaan dihentikan karena hujan selama total 3 hari. Kemudian, pada hari ke-20 pekerjaan dihentikan lagi selama 2 hari karena kehabisan materi. Jika pekerjaan itu harus selesai sesuai target awal, maka jumlah pekerja yang harus ditambahkan adalah ...

Solve a work and time problem involving 42 workers painting a wall. After a 5-day delay due to rain and material shortage, learn how to calculate the number of additional workers needed to finish the job on time. This detailed solution includes algebraic concepts and work rate calculations, ideal for Grades 8-10.

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