All the methods developed for rubber creep and relaxation are validated to specific environments for now. In general, for each new loading case and new component, a data fitting procedure has to be performed to obtain different suitable parameters. This limitation has restricted developments of the theories and their applications. This article investigates a possibility to predict the time-dependent response from data of known conditions using the time-dependent hyperelastic approach. A number of hypotheses are proposed for considered conditions, i.e., loading, material hardness, and different components, and are validated with experimental data using a dumbbell specimen and a typical industrial anti-vibration product. It has been proved that the concept of effective strain is a good criterion to bridge two different rubber components for time-dependent predictions. Hence, the application restriction of the hyperelastic-time model is successfully lifted. For the first time, it is possible to predict, not to simulate only, rubber creep/relaxation based on known parameters. By combination with previous work on temperature effect, a general hyperelastic-time model with multiple capabilities can be established and used to predict time-dependent response of rubber components. It is desirable to apply this approach on more engineering cases for further verification. POLYM. ENG. SCI., 2019. (c) 2019 Society of Plastics Engineers