2 trains leave the station at the same time. Train A is traveling 16 miles slower than train B. The two trains are 720 miles apart after 4 hours. What is the rate of speed for train A

Answer: the rate of speed for train A is 66 miles per hour.

Step-by-step explanation:

Let x represent the speed of train B.

2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.

The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.

Distance = speed * time

Distance travelled by train A after 4 hours is

4 (x - 16) = 4x - 64

Distance travelled by train B after 4 hours is

4 * x = 4x

Since the total distance travelled by both trains is 720 miles, then

4x - 64 + 4x = 720

8x = 720 - 64 = 656

x = 656/8 = 82 miles per hour

The speed of train A would be

82 - 16 = 66 miles per hour.