Two cars leave the same location at the same time, traveling in opposite directions. One travels at 50 mph and the other at 65 mph. After…

When two objects move in opposite directions, the distance between them grows at the sum of their speeds: $50+65=115$ miles per hour. Time equals distance divided by rate: $\frac{460}{115}=4$ hours, choice J. Check: the cars travel $200$ and $260$ miles, which sum to $460$. Choice F ($3$) gives $345$ miles. Choice G ($3.5$) gives $402.5$ miles. Choice H ($4.5$) gives $517.5$ miles. Only $4$ hours gives exactly $460$ miles. Reread the question to confirm that it asks for time, not distance.