Final answer:
The two trains traveling towards each other at 70 mph and 80 mph, with a combined closing speed of 150 mph, will meet 2 hours after departing at 7:00 am, which would be at 9:00 am. However, this time does not match any of the provided options.
Step-by-step explanation:
To determine when two trains traveling towards each other will meet, we can calculate the time it takes for their combined distances to equal the distance between them. The first train travels at 70 miles per hour (mph) and the second at 80 mph. Together, they close the distance between them at the rate of 70 mph + 80 mph, which equals 150 mph. Since they are 300 miles apart, we can find the time it takes for them to meet by dividing the distance by their combined speed.
Time = Distance ÷ Speed = 300 miles ÷ 150 mph = 2 hours. If they leave at 7:00 am, adding 2 hours brings us to 9:00 am, but this is not one of the provided options. Given the options, we believe there might be a typo in the question itself.