The speed of train A is 16 mph slower than the speed of train B. Train A travels 200 miles in the same time it takes train B to travel 280 miles. Find the speed of each train.

The speed of train A is 40 mph and speed of train B is 56 mph

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed of train A = Speed of train B - 16 mph

Distance of train A = 200 miles

Distance of train B = 280 miles

2. Find the speed of each train.

Let's solve the problem, as follows:

x = Speed of train B

x - 16 = Speed of train A

Like the time in hours is the same for both trains, we can use the Rule of Three Simple this way:

Speed Distance

x - 16 200

x 280

200 * x = 280 * (x - 16)

200x = 280x - 4,480

200x - 280x = - 4,480

-80x = - 4,480

x = - 4,480/80

x = 56 ⇒ x - 16 = 40