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Two trains leave Union station in Chicago at 9 am. One train goes straight east to New York, while the other goes straight west to San Francisco. The San Francisco train travels 5 mi/h faster than the New York one. After 6 hours they are 1,050 miles apart. How fast is each train traveling?

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sqdancefan

Answer:

  • SF: 90 mph
  • NY: 85 mph

Step-by-step explanation:

Let s represent the speed of the San Francisco train. Then the distance they cover is ...

  6s +6(s -5) = 1050

  12s -30 = 1050

  12s = 1080

  s = 90

  s-5 = 85

The west-bound train is traveling 90 mph; the east-bound train is traveling 85 mph.

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