It generally takes 6 months for all 3rd party claims to be completely settled unless the claim is more complicated than the usual case.
There are things that you can do to hopefully speed up the process.
Mainly, providing as much information pertaining to the car accident as possible.
Make sure you provide important pieces of evidence like police and accident reports, photographs and videos of the accident scene and any other documents that support your claim.
If you need help with claiming third party insurance, click on the link on the left.