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The problem in the image is about calculating how many days a house renovation project will be delayed due to a reduction in workers. Let's break this down step by step:

### Problem Overview:
- The renovation of a house is expected to be completed in **90 days** with **8 workers**.
- After **60 days**, **2 workers** quit, leaving only **6 workers** to continue the project.
- The question asks how many days the project will be delayed if no new workers are hired.

### Step 1: Calculate the total work to be done
If 8 workers can finish the renovation in 90 days, we can calculate the total work (in worker-days) as:

\[
\text{Total work} = 8 \text{ workers} \times 90 \text{ days} = 720 \text{ worker-days}
\]

### Step 2: Calculate the work done in the first 60 days
In the first 60 days, 8 workers were working, so the work done in this period is:

\[
\text{Work done in 60 days} = 8 \text{ workers} \times 60 \text{ days} = 480 \text{ worker-days}
\]

### Step 3: Calculate the remaining work
The remaining work after the first 60 days is:

\[
\text{Remaining work} = 720 \text{ worker-days} - 480 \text{ worker-days} = 240 \text{ worker-days}
\]

### Step 4: Calculate the time taken by 6 workers to finish the remaining work
After 60 days, only 6 workers are left to finish the remaining work. The time they will take to finish the remaining 240 worker-days of work is:

\[
\text{Time required} = \frac{240 \text{ worker-days}}{6 \text{ workers}} = 40 \text{ days}
\]

### Step 5: Calculate the delay
Initially, the project was supposed to be completed in 30 days (since 90 days - 60 days = 30 days left). However, with only 6 workers, it will now take 40 days. Therefore, the delay is:

\[
\text{Delay} = 40 \text{ days} - 30 \text{ days} = 10 \text{ days}
\]

### Conclusion:
The project will be delayed by **10 days**, which corresponds to option **E**.

Would you like further details or explanations? Here are some related questions to explore:

1. How would the delay change if 3 workers had quit instead of 2?
2. What would happen if the owner added more workers after 60 days to maintain the schedule?
3. How long would it take if the workers had to finish the job in 25 days with only 6 workers?
4. How can we calculate the productivity rate per worker in this scenario?
5. What if the workers worked overtime and increased their daily output by 20% after 60 days?

**Tip:** Understanding how to calculate worker productivity (worker-days) is crucial for solving many project management problems involving scheduling and resource allocation.

Renovasi rumah PING LIE dapat selesai dalam waktu 90 hari jika dikerjakan oleh 8 orang. Setelah pekerjaan berlangsung 60 hari ada 2 pekerja yang mengundurkan diri. Jika pemilik rumah tidak menambah pekerja maka rumah akan selesai mundur berapa hari?

Solve a work rate problem where a house renovation takes 90 days with 8 workers. After 60 days, 2 workers quit. Learn how to calculate the delay in project completion using key algebraic concepts and work rate formulas. Suitable for Grades 9-11.

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