Problema Solution

The amtrack train is 14mph faster than the central train. The amtrack train travels 400 miles at the same time the central train travels 330 miles. what is the speed of the two trains?

Answer provided by our tutors

let 'x' represent the speed of the central train, then 'x+14' represents the speed of the amtrack train


distance = speed * time

time = distance/speed


they travel their distances in the same amount of time, so we set their "distance/speed" expressions equal to each other:


400/(x+14) = 330/x

solving for 'x' we have x=66


66+14=80


the central train travels at 66mph, the antrack train travels at 80mph