Run as Administrator (Right-click > Run as Administrator) to ensure the installer has permission to write to your Program Files.
Locate the Setup.exe or Install.exe in the extracted folder. NeedForSpeedHotPursuit2010.rar
Always scan files from unofficial sources using VirusTotal before running any executables. If the .rar asks for a password you don't have, it is likely a fake or malicious file. Run as Administrator (Right-click > Run as Administrator)
If you see "d3dx9_42.dll is missing," download and install the DirectX End-User Runtime from Microsoft . NeedForSpeedHotPursuit2010.rar