When looking for synonyms for the phrase "rides current," there are several options to choose from. One common alternative is "floats downstream," which conveys the same sense of being carried along by water. Another option is "drifts with the current," which emphasizes the passive nature of the movement. "Sails along" is another possible synonym, suggesting a slightly more deliberate or intentional movement. Additional options include "glides through the water," "flows with the stream," and "moves with the tide." Ultimately, the choice of synonym will depend on the context and tone of the sentence or phrase in which it appears.