Just finished "4.50 From Paddington" by Agatha Christie. This was her 59th book, and was originally published in 1957.
Mrs. Elspeth McGillicuddy has come from a shopping expedition to visit her old friend Jane Marple for Christmas. On the way, her train passes another train running parallel to her. Then, a blind in one of the compartments flies up and she sees a man with his back to her strangling a woman. She reports the crime to the police, but no body can be found, and nobody except Miss Marple believes her story. Miss Marple employs a young woman to investigate the matter on her behalf...
An absolutely excellent detective story, with lots of twists and turns in the plot. One of Christie's best.
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