Two Amtrak trains traveling on parallel tracks leave Tucson at the same time. In 6 hours the faster train is 382 miles from Tucson and the trains are 112 miles apart. Find how fast each train is traveling.

Answer: the faster train is travelling at 63.7 mph

The slower train is travelling as 45 mph

Step-by-step explanation:

Distance = speed * time

Speed = distance/time

The two trains leave Tucson at the same time. In 6 hours, the faster train is 382 miles from Tucson. This means that the speed at which the faster train is travelling is

382/6 = 63.7mph

In 6 hours, both trains are 112 miles apart. This means that the distance covered by the slower train in 6 hours is

382 - 112 = 270 miles

Therefore, the speed at which the slower train is travelling is

270/6 = 45 mph