The agency has developed new systems for training workers, inspecting tracks and reducing train speeds.
The broken rail was found Tuesday along the F line during a routine inspection north of 36th Street.
Four injured people were taken to hospitals while local service was restored for evening rush, MTA said.
Metro-North must formulate a plan by Dec. 31 for signal modifications to ensure safety.
The MTA planned to provide near full service on the Hudson Line, with scattered delays.
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