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The Two Trains

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
I put this little question to a stationmaster, and his correct answer was so prompt that I am convinced there is no necessity to seek talented railway officials in America or elsewhere. Two trains start at the same time, one from London to Liverpool, the other from Liverpool to London. If they arrive at their destinations one hour and four hours respectively after passing one another, how much faster is one train running than the other?

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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