East Bay Municipal Utility District directors voted 5-1 on Tuesday to approve a water rate increase totaling nearly 13 percent over the next two years. The board’s vote means that the water agency’s 1.4 million customers in Alameda and Contra Costa counties will face a 6.5 percent rate hike on July 1 and another 6.25 percent hike on July 1, 2020. The rate hikes follow an increase of nearly 20 percent over the past two years.