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?

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.