Answer:
To organize the given speeds and the distances traveled in certain time frames, let's first match any distances with time to calculate speeds, and then list all speeds together in a clear format.
1. **Calculating Speeds from Distance and Time:**
- **1/2 mile in 1/3 hour:** To find the speed, divide the distance by the time:
[tex]\[ \text{Speed} = \frac{1/2 \text{ mile}}{1/3 \text{ hour}} = \left( \frac{1}{2} \right) \div \left( \frac{1}{3} \right) = \frac{1}{2} \times \frac{3}{1} = \frac{3}{2} \text{ miles per hour} = 1.5 \text{ miles per hour} \][/tex]
- **4/5 mile in 1/4 hour:** Similarly, divide the distance by the time:
[tex]\[ \text{Speed} = \frac{4/5 \text{ mile}}{1/4 \text{ hour}} = \left( \frac{4}{5} \right) \div \left( \frac{1}{4} \right) = \frac{4}{5} \times \frac{4}{1} = \frac{16}{5} \text{ miles per hour} = 3.2 \text{ miles per hour} \][/tex]
2. **List of Speeds Provided and Calculated:**
- **16/5 miles per hour** (already provided as a speed)
- **1.5 miles per hour** (calculated from 1/2 mile in 1/3 hour)
- **3.2 miles per hour** (calculated from 4/5 mile in 1/4 hour)
- **1/2 miles per hour** (already provided as a speed)
- **7/4 miles per hour** (already provided as a speed)
- **1/4 miles per hour** (already provided as a speed)
These speeds, listed in descending order of magnitude, would be:
- **3.2 miles per hour** (from 4/5 mile in 1/4 hour)
- **16/5 miles per hour** or **3.2 miles per hour** (provided)
- **7/4 miles per hour** or approximately **1.75 miles per hour**
- **1.5 miles per hour** (from 1/2 mile in 1/3 hour)
- **1/2 mile per hour**
- **1/4 mile per hour**
This list now represents all the speeds you mentioned, both given directly and calculated from the distances and times provided.
Step-by-step explanation:
