My coworker and I have different opinions on the relationship between base classes and interfaces. I'm of the belief that a class should not implement an interface unless that class can be used when an implementation of the interface is required. In other words, I like to see code like this:

interface IFooWorker { void Work(); }

abstract class BaseWorker {
    ... base class behaviors ...
    public abstract void Work() { }
    protected string CleanData(string data) { ... }
}

class DbWorker : BaseWorker, IFooWorker {
    public void Work() {
        Repository.AddCleanData(base.CleanData(UI.GetDirtyData()));
    }
}

The DbWorker is what gets the IFooWorker interface, because it is an instantiatable implementation of the interface. It completely fulfills the contract. My coworker prefers the nearly identical:

interface IFooWorker { void Work(); }

abstract class BaseWorker : IFooWorker {
    ... base class behaviors ...
    public abstract void Work() { }
    protected string CleanData(string data) { ... }
}

class DbWorker : BaseWorker {
    public void Work() {
        Repository.AddCleanData(base.CleanData(UI.GetDirtyData()));
    }
}

Where the base class gets the interface, and by virtue of this all inheritors of the base class are of that interface as well. This bugs me but I can't come up with concrete reasons why, outside of "the base class cannot stand on its own as an implementation of the interface".

What are the pros & cons of his method vs. mine, and why should one be used over another?