Take a flight in the morning for Patna from New Delhi. Once you reach there, you will be picked-up from the airport and will be transferred to the hotel. After some rest, you will be visiting Takhat Shri Harmandir Sahib in the afternoon. Return tot the hotel for an overnight stay.
Post breakfast on day 2, take the tour of the local Gurudwaras of Patna like Gurudwara Guru ka Bagh, Gurudwara Ghai Ghat, Gurudwara Gobind Ghat and Gurudwara Bal Lila Maini. In the evening, you will be drop at Patna Airport to catch a Flight for Delhi. You will reach Delhi during the late evening.