I will be doing a day trip from Bucharest on a Monday by train.Am I right that the castle on a Monday is open from 12 noon to 4pm.I was going to get the 6am train from Bucharest and come back on the 1800 train.If so would I have time to look around Brasov first arriving at 9am,then make my way to Bran Castle and back to Brasov for the 6pm train back to Bucharest, any suggestions pls grateful.