1. **Problem:** Zalmon walks 3/4 of a mile in 3/10 of an hour. What is his speed in miles per hour?
2. **Formula:** Speed is calculated as distance divided by time:
$$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$$
3. **Substitute values:**
$$\text{Speed} = \frac{\frac{3}{4}}{\frac{3}{10}}$$
4. **Divide the fractions:**
$$\text{Speed} = \frac{3}{4} \times \frac{10}{3}$$
5. **Simplify by canceling common factors:**
$$\text{Speed} = \cancel{\frac{3}{\cancel{4}}} \times \frac{10}{\cancel{3}} = \frac{10}{4}$$
6. **Simplify the fraction:**
$$\frac{10}{4} = \frac{5}{2} = 2.5$$
7. **Answer:** Zalmon's speed is 2.5 miles per hour.
**Final answer: C 2.5 miles per hour**
Speed Calculation 054131
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.