How fast do insurance claims get handled? (Car bumper scraped and paint came off)?

I awoke to see my car with about a foot's in width and length scratch/scrape along the left side of the bumper. I already know who did it (Family member who rents), Paint came off on certain portions of the big scratch/scrape and it just makes the front end look awful.
so what is there to do now? And how fast do Car Insurance companies take care of these types of problems.
It's depressing, because I just bought this car 2 weeks ago.
(Black 2012 Honda Civic Si Sedan.)
Photo below…

Read more: How fast do insurance claims get handled? (Car bumper scraped and paint came off)?