One December day, two spies decide that they must meet to exchange documents. One is in New York City and the other is in Indianapolis, 700 miles away by train. The spies want to be together for only a brief moment. They consult train schedules and find that there is a stop that will meet their needs.

The Midwest Flyer leaves Indianapolis at midnight and arrives in New York City at 2:00 PM, 14 hours later. The Silver Streak leaves New York City at 2:00 AM and arrives in Indianapolis at noon, 10 hours later. How far from each city do the spies plan to rendezvous, and at what time?

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