Hey MattG--I've got a friend with this same problem (and her car is a stock Evo). What's the best way to lay pipe and concrete over so you the top layer of concrete 'sticks' to the bottom?

 

Hmm the crushed rock might seem like a good idea...

you trhink if i can buy some wooden boards long enough to cover up the gap, it might do the trick as well?

 

I'd go with some crushed rocks. It's called a French drain. It will support the car and still allow water run off.

 

After reviewing you pic, I'm not sure that crushed rock will work for you. It may work well in the summer time. But, considering you live in NY, you will have a mess in the winter. I would also avoid the wood ramp for the same reason. However, a wood ramp would be a nice "temporary" solution.

Judging from you pictures, the permanent solution would be a steel drainage grate. If I were you, I would contact the contractor who did the paving work and let him know you need one. That would be your best bet.

Please do not let the contractor talk you into building up the pavement. It looks to me that if he does that your garage will get flooded.

 

Well if I used the wooden ramps, it would only sit outside when I need to move the car.. then i'd bring the wooden pieces back into my garage so they'd never stay outside and get messed up over time.

At this time I wouldn't call the contractor because money is short and looking for a cheap and effective solution for the time being.

And yes that is for drainage.

 

Drainage engineer to the rescue...

What you need here is a trench drain. This is not the cheapest solution but it is a permanent one. You need to have a contractor regrade that portion of the driveway and install the trench drain to prevent water from entering the garage. Here's a link to a manufacturer that I spec frequently and a pic of what I'm talking about.

http://www.abtdrains.com/

 

Some thoughts:
You may be able to have a yard chamfer 2 ends of a 4 x 10 timber (trapezoid) or Cast two concrete pieces 12" wide w/ drainage pipe below on top of exist grate if your grate is not continuos...a little tricky for winter but should work.