This document proposes a novel time-obfuscated algorithm to protect user trajectory privacy in location-based services. Existing techniques only address snapshot queries and not continuous queries, which allow malicious services to track user trajectories. The proposed algorithm combines r-anonymity, k-anonymity and s-segment paradigms to cloak user locations. It introduces a time-obfuscation technique to randomize query times and prevent services from reconstructing actual trajectories. Experimental results show the technique protects privacy while maintaining query accuracy.