From Norwich train to Liverpool Street Underground Station, Tube to London Paddington, then train to Swansea. 5hrs 24min £73. From Norwich City Centre, Bus Station line 727 bus to Cambridge, Parkside (Parker's Piece), bus to Oxford City Centre, Park End Street (Stop E7), line 66 bus to Swindon, then train to Swansea. 9hrs 57min £67. From Norwich City Centre, Bus Station bus to Queensgate Bus Station, bus to St Margaret's Bus Station, bus to Bristol Bus Stn, then line 100 bus to Swansea, Bus Station (Swansea Bus Station). 11hrs 15min £63. From Norwich drive to Swansea. 5hrs 06min £61. From Norwich airport fly to Cardiff airport, line 905 train to Rhoose Cardiff Int Airport, train to Bridgend, then train to Swansea. 6hrs 31min. From Norwich airport fly to Bristol airport then line 100 bus to Swansea. 6hrs 52min £163.