[91LX2Bfast]

Ok, I got caught racing a few years ago under similar circumstances. Except we were going slightly fastwer then you were, we passed the cop at the end of our race and we were pulling about 105mph. We didn't even know we passed him, and we slowed and raced again up to about 110. When he pulled us over he was so pissed off because he thought we started to run and it took him 1.5 miles to catch us.
He didn't get us on radar, but he was able to visually confirm our high rate of speed and the fact that we were racing. He was pissed, wrote us the ticket for "racing on highways," and left. I stayed to talk to the other dude who I didn't even know, and we made sure our stories would match up if we had to talk about it later on.
OK, heres what I did and my advice: go to the police station and talk to the cop. You will be surprised, but cops are real people too, lol. They have been in trouble themselves, and some are actually understanding. Conduct yourself in a straight up manner and tell the truth. Tell him you know you were stupid by trying to mess around with your friend. The thing a cop hates the most is a liar trying to get out of a ticket, so don't lie. I even talked to the cops superior officer, and tried to convince him to make the other cop take it easy on me. I commute to college, so thats one hting I told them. I said that if I lost my liscense, I would have to drop out of school. That worked very well for me. If you have a defense like that, it will really help.
So, the cop ended up dropping the charge and gave me 3 minor charges. I was very happy to say the least. he was a ver col guy and he even joked with me for having a Mustang that got beat by an Eclipse (yup, I lost the race too, I was so ashamed, lol.)
I think a lawyer is pretty excessive for a ticket, but thats just me. use a lawyer as a last resort.