Question 188934: It takes a passenger train 2 hours less time than it take a freight train to make the trip from Central City to Clear Creek. The passenger train averages 96 km/h while the freight train averages 64 km/h. How far is it from Central City to Clear Creek?
Answer by jonvaliente(64)   (Show Source):
You can put this solution on YOUR website! 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
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