Task-oriented dialogue about: train

I am looking for a train that goes to cambridge and arrives at the destination after 13:00.
I will be happy to find one for you. What day will you be traveling?
I will be traveling on Saturday and want to leave from peterborough.
I have a 13:17 or a 15:17? would those departure times work for you?
No I need an earlier train.
I'm afraid that's all we've got.
I'm sorry I may have confused you. I would want to go from Petersborough to Cambridge on Saturday and arrive by 13:00, so anything that will get me there before that.
Sure, when would you like to depart?
It doesn't matter. I just need to get to Cambridge before 13:00. I will need 5 seats please.
The TR5538 departs Peterborough at 11:48 and arrives in Cambridge at 12:38 with a duration of 50 minutes. The cost is 13.20 pounds. Would you like to book a ticket on this train, or should we look at some other times?
That sounds perfect, can you book that for 5 people for me, please?
Booked! You pay 66 GBP at the station. Reference number: Z66EG4L8 .
You've been very helpful. Thank you. Goodbye.
Have a good trip. Thank you for using Cambridge TownInfo Centre. Goodbye.