Network connections established via multiple paths are becoming more eminent; efficient utilization of network resources provided by multiple interfaces, e.g., network gateways equipped with International Mobile Telecommunications-Advanced (IMT-Advanced) technologies or enabled with multipath routing, is necessary for next generation networks. In reality, both wired and wireless links are sometimes over-provisioned in which some are utilized while others are reserved for backup. One of the key issues in our study is to investigate how these interfaces can be used simultaneously for transmitting real time traffic with a short delay. Optimally distributing network traffic over multiple paths connected between source and destination gateways is the main purpose of this research. Our proposed model takes into account of both propagation delay and bandwidth for determining the optimal path. If there are paths with different propagation delays between a source and a destination, the path with a larger propagation delay will likely be assigned with a lower precedence. For input traffic, the splitting ratios are optimally adjusted in order to minimize the maximum path delay. We then show that the delay controlled load distribution model can optimally utilize the path with different path parameters in minimizing the maximum path delay.