The journey from Serampore to Agra is about 1300 km. You can take a train from Howrah Junction to Agra Cantt. The journey takes about 18-20 hours. Agra is famous for the Taj Mahal.
Total Distance: 1300 km by road, 1100 km air distance.
Book in advance as this is a popular route.
October to March for pleasant weather.