Here are the Need for Speed: The Run System Requirements (Minimum)
CPU: 2.4 GHz Intel Core 2 Duo or AMD Equivalent
CPU SPEED: Info
RAM: 3 GB
VIDEO CARD: 512 MB RAM ATI Radeon 4870 or higher performance / 512 MB RAM NVIDIA GeForce 9800 GT or higher performance
DEDICATED VIDEO RAM: 512 MB
PIXEL SHADER: 4.0
VERTEX SHADER: 4.0
OS: Windows Vista SP2 32-bit
FREE DISK SPACE: 18 GB
SOUND CARD: Yes

Need for Speed: The Run Recommended Requirements
CPU: 3.0 GHz Intel Core 2 Quad or AMD Equivalent
CPU SPEED: Info
RAM: 4 GB
VIDEO CARD: 1024 MB RAM ATI Radeon HD 6950 / 1024 MB RAM NVIDIA GeForce GTX 560
DEDICATED VIDEO RAM: 1 GB
PIXEL SHADER: 5.0
VERTEX SHADER: 5.0
OS: Windows 7 SP1 64-bit
FREE DISK SPACE: 18 GB
SOUND CARD: Yes