SOLUTION: Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 18 miles per hour faster than the westbound train. If the two tr

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Question 1120682: Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels
18
miles per hour faster than the westbound train. If the two trains are
600
miles apart after
3
hours, what is the rate of the eastbound train?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You. Can think of this as one of the trains standing
still and the other one traveling at the sum of their speeds
Let +s+ = the speed of the westbound train in mi/hr
+s+%2B+18+ = the speed of the eastbound train
—————————-
Now I can say
+600+=+%28+s+%2B+s+%2B+18+%29%2A3+
+600+=+6s+%2B+54+
+546+=+6s+
+s+=+91+
And
+s+%2B+18+=+91+%2B+18+
+s+%2B+18+=+109+
The eastbound train’s speed is 109 mi/hr
Check
+600+=+%28+91+%2B+109+%29%2A3+
+600+=+200%2A3+
+600+=+600+
OK

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels
18
miles per hour faster than the westbound train. If the two trains are
600
miles apart after
3
hours, what is the rate of the eastbound train?
Let eastbound train's speed be S

Then westbound train's speed = S - 18

We then get: 3S + 3(S - 18) = 600

Solve this of S, the speed of the eastbound train. 

You should get: highlight_green%28matrix%281%2C4%2C+S%2C+%22=%22%2C+109%2C+mph%29%29