Answer:
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:
[tex]4+3\frac{1}{2}[/tex]
[tex]4+\frac{7}{2}[/tex]
[tex]\frac{8+7}{2}[/tex]
[tex]7.5}[/tex]
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.
[tex]Rate=\frac{562.5}{7.5}[/tex]
[tex]Rate=75[/tex]
Hence, the rate of the trains are 75 mph.
