I thought that to apply to BA you had to have some good jet time
You thought wrong.
Requirements : An ATPL(F) with at least 1000 hours recent experience on a turbojet/turboprop transport category aeroplane with a MTOM greater than 10 tonnes or an approved passenger seating configuration of not less than 20 passengers.
OR
A current type rating on either the Airbus A320 series or Boeing 737, with an ATPL(F) and a minimum of 500 hours recent experience on type.