Describe the travel challenges Madhavrao and Dixit faced on their way to Shirdi and how their problem was unexpectedly solved.

Madhavrao and Dixit faced a significant travel challenge on their journey to Shirdi. According to Chapter 51, after arriving at the station, they discovered that the second-class train was packed to capacity, leaving them gripped by deep worry. They decided they would have to return and attempt the journey the next day. Just then, the train guard suddenly appeared and, in a stroke of luck, turned out to be an acquaintance of Dixit. He resolved their issue by making an arrangement for them to sit in the first-class carriage without any worry, allowing their journey to proceed happily.