Task-oriented dialogue about: train

Hi! I need a train to Leicester. I want to leave after 14:45.
No problem. What day will that be for?
For Thursday please and I want to go to Cambridge.
TR939 leaves cambridge and goes to leicester at 15:21 would that work for you?
Actually I need a train leaving leicester going to Cambridge. Not the reverse.
I'm sorry. Yes, train TR1575 will arrive in Cambridge by 16:54. It leaves Leicester at 15:09. Can I book it for you?
Yes, please. I need tickets for 5 people and a reference number, if possible.
You got it, 5 tickets were booked, reference number is 2YCGD64V .
Thank you for your help.
No problem. Glad to be of assistance.