SOLUTION: A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express train traveling at 55 mph, how long will the express train take to overtake the freight tra

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Question 460642: A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express train traveling at 55 mph, how long will the express train take to overtake the freight train?
If x represents the distance the train traveling 30 mph travels, then the train traveling 55 mph travels
answers
a)x miles
b)x+300 miles
c)x-300 miles
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The equation for the freight train is:
(1) +x+=+30t+
The equation for the express train is:
(2) +x+%2B+300+=+55t+
-------------------
Both trains will travel for +t+ hrs, but the
express train has to go 300 mi further
(2) +x+=+55t+-+300+
+30t+=+55t+-+300+
+25t+=+300+
+t+=+12+
It will take 12 hrs to catch freight train
The express train travels +x%2B+300+ mi