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The train is 3/8 of a bridge from the bridge.
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Where does the problem say this?
It only says:
"A man is 3/8 of the way walking across a railroad trestle when he hears a train approaching at 60 mi/hr."
All we know about the train is its speed, and that the man can hear it when he is on the bridge.
There is no description of where the train is or how far away, relative to the trestle.
If the train is 3/8 of a trestle away from the trestle, then the problem is solvable with a unique solution. But that information wasn't given.