Question

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 station B are 562.5 mi apart. What is the rate of the trains?
Answer mph

Answer 1

You can add the times together and calculate the speed over the full length, because both trains have the same speed
$speed=rate=\frac{distance}{time}\\ \frac{562.5}{3.5+4} = \frac{562.5}{7.5}=75 mph$