Hi Sheetal, we went to these places exactly around 2 years back. Let me go through our plan. DAY 1: Reach Rameshwaram from Chennai using Mannai express(16179). You will reach Rameshwaram early morning. Visit Temples and Dhanushkodi. Board train to Kanyakumari. There is a train at 8.40 PM. You will reach Kanyakumari by 5 AM. DAY 2: Watch sunrise and roam around the places. Board train around evening and reach Madurai at night. it hardly takes 5 hour. DAY 3: Visit temples and leave to Chennai by train around 9PM. Have a nice trip. If you need any details please contact me😊😊
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To this route there is no one train going to all this desination. From Chennai you have to come to Madurai whether you want to go for kanyakumari or Rameshwaram