One important note is that Prudential distributes auto insurance through Plymouth Rock Assurance, so your policy will likely be under that company name rather than Prudential. Plymouth Rock Assurance, which distributes auto insurance policies for Prudential, doesn't mention how long it'll take to obtain car insurance on its website. Prudential auto coverage distributed through Plymouth Rock Assurance includes bodily injury liability, property damage liability, personal injury protection, and uninsured/underinsured motorist coverage.