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At 2:45, Train-A has a 1/2-hour lead on Train-B = 1/2 of the speed of Train-A = 5 miles.

Train-B overtakes Train-A at the rate of (50 - 40) = 10 miles per hour.

It takes Train-B (5/10) = 1/2 hour to make up the deficit.

Train-B catches up to Train-A at 3:15 AM.

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