A rain gauge collected 0.2 inches of rain in 30 minutes. If it keeps raining at the same rate, what's the total time it will take to collect 1 inch of rain?

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To determine the total time it will take to collect **1 inch** of rain at the same rate, you can use a simple proportion based on the rate of rainfall.

### Given:
- **Rain collected**: 0.2 inches
- **Time taken**: 30 minutes

### Find:
- **Total time** to collect 1 inch of rain.

### Calculation:

1. **Determine the rate of rainfall**:
   
   $$
   \text{Rate} = \frac{0.2 \text{ inches}}{30 \text{ minutes}} = \frac{1 \text{ inch}}{150 \text{ minutes}}
   $$

2. **Set up the proportion to find the total time (t) for 1 inch**:
   
   $$
   \frac{0.2 \text{ inches}}{30 \text{ minutes}} = \frac{1 \text{ inch}}{t \text{ minutes}}
   $$

3. **Solve for t**:
   
   $$
   t = \frac{1 \text{ inch} \times 30 \text{ minutes}}{0.2 \text{ inches}} = 150 \text{ minutes}
   $$

4. **Convert minutes to hours and minutes (optional)**:
   
   $$
   150 \text{ minutes} = 2 \text{ hours and } 30 \text{ minutes}
   $$

### **Conclusion:**
It will take **150 minutes** (which is **2 hours and 30 minutes**) to collect **1 inch** of rain at the same rate.
It will take 150 minutes (2 hours and 30 minutes) to collect 1 inch of rain at the same rate.

A rain gauge collected 0.2 inches of rain in 30 minutes. If it keeps raining at the same rate, what's the total time it will take to collect 1 inch of rain?

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