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From Bhubaneswar airport fly to Patna airport then taxi to Patna. 6hrs 29min $132. From Bhubaneswar (BBS) train to Rajendra Nagar Bihar (RJPB). 17hrs 41min $30. From Bhubaneswar bus to Kolkata then bus to Patna. 21hrs 43min $18. From Bhubaneswar drive to Patna. 11hrs 45min $90.