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Meeting Trains

Problem

Two railway stations, $P$ and $Q$, are 279 miles apart.
A train departs from $P$ at 2pm and travels at a constant speed of 51 mph towards $Q$.
At 3pm a second train begins a journey from $Q$ towards $P$ at a constant speed of 60 mph.

How far apart are the two trains twenty minutes before they pass each other?

Problem ID: 261 (29 Jan 2006)     Difficulty: 1 Star

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