Train a and train b leave a central station at the same time. they travel the same speed, but in opposite directions, with train a heading towards station a, and train b heading towards station b. train a reaches station a after 4 h. train b reaches station b after 3 1/2 h. station a and b are 562.5 mi apart. what are the rate of the trains?

The rate of the trains are 75 mph.

Step-by-step 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.

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