A rendering of the Chanbers Street entrance to the future hotel in Princeton. After more than 5 and a half hours of testimony and discussion, the Princeton Zoning Board voted unanimously on Monday night to approve plans for a 180-room hotel at the corner of Nassau and Chambers streets. The project will take 24 to 26 months to complete. Just after 1 a.m., the board voted to approve Graduate Hotel’s plans for 20 Nassau Street. Neighbors from the historic Bank Street area next to the property objected to the size and scale of the project on Monday night. Near the end of the meeting, Michael LaPlace, the town’s planner, told the zoning board he thought the positives of the project outweigh the negatives. “This is an overwhelmingly positive project for the municipality,” he said, adding that the developer is willing to work with the neighborhood.