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 toward station A and train B heading toward station B. Train A reaches station A after 212

h. Train B reaches station B after 4 h. Station A and Station B are 585 mi apart.

What is the rate of the trains?

Answer 1

The rate of the trains is approximately 2.7083 units per hour.

Step-by-step explanation:

To find the rate of the trains, we need to find their individual speeds. Let's assume the speed of both trains is x.

Train A travels for 212 hours and Train B travels for 4 hours.

Since distance equals speed multiplied by time, we can write the equation 212x + 4x = 585, where 585 represents the total distance between the two stations.

Combining like terms, we get 216x = 585. Dividing both sides by 216, we find that x ≈ 2.7083.

Therefore, the rate of the trains is approximately 2.7083 units per hour.