Do insurance companies have a time limit when investigating an auto accident?

Depending on where you are (I can only speak for the U.S.), there may be no restriction on how long insurance has to act on a claim. Some states to have a statutory limit for responding to a claim (for example, ten working days) and others, like Florida, do not. They allow market forces, such as auto repairers and customers, to force action. In most states, the funny part is, you have a statutory limit on how long you have to FILE a claim. Quaint, isn't it?