It takes an inlet pipe 2 minutes to supply 30 gallons of water to a pool. How many hours will it take to fill a 27,000 gallon pool that starts out empty?

Answer

To solve the problem step by step, we will follow the same logic as in the video transcript.

### Step-by-Step Solution:

1. **Identify the given information**:
- The inlet pipe takes 2 minutes to supply 30 gallons of water.

2. **Find the time taken to supply 1 gallon of water**:
- To find the time for 1 gallon, we can use the unitary method.
- Time taken for 1 gallon = Total time for 30 gallons / Number of gallons = 2 minutes / 30 gallons = \( \frac{2}{30} \) minutes per gallon.

3. **Calculate the time taken to supply 27,000 gallons**:
- Now, we need to find the time taken to supply 27,000 gallons.
- Time for 27,000 gallons = Time for 1 gallon × 27,000 gallons = \( \frac{2}{30} \) minutes × 27,000 gallons = \( \frac{2 \times 27,000}{30} \) minutes.

4. **Simplify the expression**:
- First, simplify \( \frac{2 \times 27,000}{30} \).
- \( 27,000 / 30 = 900 \), so we have \( 2 \times 900 = 1800 \) minutes.

5. **Convert minutes to hours**:
- To convert minutes into hours, we divide by 60.
- \( 1800 \) minutes = \( \frac{1800}{60} \) hours = 30 hours.

6. **Conclusion**:
- Therefore, it will take 30 hours to fill a 27,000 gallon pool that starts out empty.

### Final Answer:
It will take **30 hours** to fill the pool.