Answer:
The rate of the trains are 75 mph.
Explanation:
Consider the provided information.
Train A and train B leave a central station at the same time with same speed, but in opposite directions.
Train A reaches station A after 4 h. train B reaches station B after 3 1/2 h.
The total time taken by train A and train B is:



Thus, the total time taken is 7.5 hrs.
It is given that station A and B are 562.5 mi apart.
That means both the trains cover 562.5 mi in 7.5hr
As we know: Rate = distance / time or Speed = distance / time
Here, rate and speed are the same thing.
Now substitute the respective values in the above formula.


Hence, the rate of the trains are 75 mph.