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.

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

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !