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Multiple description coding (MDC) provides a means to combat erasure channels. Both rate and packet delay have significant contributions to end-to-end distortion of delay-sensitive sources. The previous works just considered exponential and fixed packet length distributions to evaluate the packet delay. In this letter, assuming a general (unknown) distribution with known average and variance of packet length, it is showed that average distortions of MDC and Single description coding (SDC) are upper bounded. Derived bounds are determined by encoding rate, packet arrival rate of network, acceptable delay threshold and first and second moments of packet length distribution.