R = Right, L = Left, U = Up, D = Down, # = # of moves.
For example, R2 would mean you move the car through 2 intersections in the right direction. There's no rush, just move forward one space at a time. If you do mess up, you can always just hit ALT + F4 or Alt + Tab to exit the game. Close it and re-open it and you'll be right back at the start and it won't count against your achievement progress.
Intersection 1:
R2, U1, L2, D1, R1, U1, R1, D1, L2, D1, R1, U2, R2, D2, L1, U1, R1, drive forward to the right.
Intersection 2:
U1, R3, D1, L1, D1, L2, D1, R3, D1, L1, U1, R3, D1, R1, U1, drive forward to the right.