That's a shame. 13:05 might be pushing it. I was going to collect you and offer you a superb afternoon of spectacular sport at Queens Park Rangers FC. Coincidentally, they're playing Reading that day. But the match starts at 15:00, which might make getting there in time a bit difficult, given that your plane might be late.
Alternative possibility is to meet up in London after the game and do some carbo-loading.
That's an early start on Monday. Where are you thinking of staying? I'm just wondering if it might be a good idea to stay in the Reading area on the Saturday night, then somewhere near Gatwick on the Sunday night to make sure you get your plane.
So a possible scenario is:
Saturday, arrive Gatwick, get train to London. Eat cakes all afternoon. Meet me in London late afternoon. Drive to Reading, carbo-load, get you in a hotel.
Sunday: collect you, do the race, come round here for a shower and more cakes. Sometime in the evening, get you on the Reading - Gatwick train.
No need to book accommmodation just yet but this is a possible plan.
El Gordo
Great things are done when men and mountains meet.