The freight train speed = 22 mph
The passenger train speed = 28 mph
Step-by-step explanation:
Assign the speed of the freight train as; x mph
Since the passenger train travels 6 mph faster than the freight train, its speed will be; (x + 6) mph
In 2 hours, the freight and passenger trains will have traveled (distance = speed * time);
2x and 2(x + 6) miles respectively
Both add up to 100 miles. Therefore;
2x + 2(x +6) = 100
4x + 12 = 100
4x = 88
x = 22
x + 6 = 28
The freight train speed = 22 mph
The passenger train speed = 28 mph
