Final answer:
The trains will be approximately 58 miles apart after 30 minutes.
Step-by-step explanation:
To find how far apart the trains will be after 30 minutes, we first need to calculate the distance each train travels in that time. Since speed is distance divided by time, we can use the formula distance = speed * time. The first train travels at a speed of 64 mph, so it will cover a distance of 64 * (30/60) = 32 miles. The second train travels at a speed of 52 mph, so it will cover a distance of 52 * (30/60) = 26 miles. Therefore, the trains will be approximately 32 + 26 = 58 miles apart after 30 minutes.