Question: User: Cameron drove $156$ miles in $3$ hours. If he continued at the same rate, how long would it take to travel $520$ miles?
1. **State the problem:** Cameron drove $156$ miles in $3$ hours. We need to find how long it would take to travel $520$ miles at the same rate.
2. **Formula used:** Speed = Distance / Time. Since the rate is constant, we can use the proportion \( \frac{\text{distance}_1}{\text{time}_1} = \frac{\text{distance}_2}{\text{time}_2} \).
3. **Calculate the speed:**
$$\text{speed} = \frac{156}{3} = 52 \text{ miles per hour}$$
4. **Set up the equation to find time for $520$ miles:**
$$52 = \frac{520}{t}$$
5. **Solve for $t$:**
$$t = \frac{520}{52}$$
6. **Simplify the fraction:**
$$t = \frac{\cancel{520}}{\cancel{52}} = 10$$
7. **Answer:** It would take Cameron $10$ hours to travel $520$ miles at the same rate.