I'm working on a simple application with a few classes. This all started when I wanted to use the Remove method on a List<Car>. This method requires that you override the Equals and the GetHashCode methods for the Car type. In this situation, I decided to implement an ID property on the Car class. That way, my Equals method simply checks for ID equality, and my GetHashCode method returns base.GetHashCode().
Is this a good approach, or is implementing a GUID for a small class too heavy-handed? There wouldn't be any need for it without the reasons I explained above. The only requirement for uniqueness for this Car type is that it be unique within the List<T> collection to which it belongs. But adding the GUID property seemed like the quickest way around the GetHashCode mess. BTW, there are no int properties on my Car type.
Instead of implementing Equals and GetHashCode just use RemoveAll:
myList.RemoveAll(x => x.ID == myCar.ID);
This allows you to specify a predicate that indicates what items should be removed instead (it doesn't matter that you are only removing one item).
Implementing Equals and GetHashCode in the way you describe strikes me as extremely dodgey - if your Equals implementation returns true then your GetHashCode method needs to return the same value so that those two objects will be placed in the same bucket in a hashtable. Your implementation (as I understand it) doesn't match this criteria as the base GetHashCode implementation is almost certainly going to return different values for two Car instances, regardless of if they have the same ID or not.
Implementing Equals and GetHashCode isn't entirely trivial and is probably something I'd generally avoid doing if there are alternatives. If you really want to do this then take a look at these resoruces:
Also hash codes are not GUIDs