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Q 1414445359.     A goods train and a passenger train are running on the parallel tracks in the same direction. The driver of the goods train observes that the passenger I train coming from behind, overtakes and crosses his train completely in `1` min whereas a passenger on the passenger train marks that he crosses the goods train in `2/3` min. If the speeds of the trains is in the ratio of `1 : 2`, then find the ratio of their lengths.
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)