To solve this problem, let's go through the information given:

1. Distance between the two trains: 504 miles.
2. Speed of Train 1: 115 miles per hour.
3. Speed of Train 2: 95 miles per hour.

Since the trains are traveling toward each other, their combined speed will be the sum of their individual speeds: $115 + 95 = 210 \text{ miles per hour}$

Now, we can find the time ($t$) it will take for them to meet by using the formula: $\text{Time} = \frac{\text{Distance}}{\text{Combined Speed}}$

Substituting the values: $t = \frac{504}{210} = 2.4 \text{ hours}$

Answer:

The two trains will meet in 2.4 hours.

Would you like further explanation on any part of this solution, or do you have any additional questions?

Here are 5 related questions to explore:

1. How would the answer change if one train started later than the other?
2. What if both trains had the same speed? How would you calculate the meeting time?
3. How would the formula change if the trains were moving in the same direction?
4. How can you convert the time into minutes if required?
5. What would be the total distance each train has traveled by the time they meet?

Tip: For distance-speed-time problems involving objects moving towards each other, remember to add their speeds to find the combined speed.