Design Immersion refers to a design principle for distributed real-time systems which reconciles advantages of asynchronous solutions regarding assumption coverage and real-time requirements. By case study we show how a totally time free algorithm can be implemented in a real network in order to achieve required timeliness properties. As first step we introduce a novel implementation of the perfect failure detector resting on an abstract system model without upper bounds on end-to-end message delays. In the second step we demonstrate how this algorithm can be transferred from the abstract model into a real network architecture. Finally we prove that this solution exhibits real-time behavior, like a synchronous solution would do. But additionally our algorithm ensures safety and liveness even with violated time bounds.