Question 188934
Let t=time it takes for the freight train to make the trip
    t-2=time it takes for the passenger train to make the same trip

Since distance=speed*time, and the trains traveled the same distance, we get:

96*(t-2)=64*t

Simplifying...

96t-192=64t

Subtracting 64t from both sides, we get:

32t-192=0

Adding 192 to both sides, we get:

32t=192

Dividing both sides by 32 we get:

t=6 (6 hours for the freight train to make the trip)

To get the distance, (using the distance=speed*time formula)

distance = 64 * 6 = 384 miles

Central City to Clear Creek is 384 miles