Solomon is proud of his 26-volume encyclopedia, placed neatly, with the volumes in alphabetical order, on his bookshelf. Solomon doesn't realize, though, that there's a bookworm sitting on the front cover of the A volume. The bookworm begins chewing his way through the pages on the shortest possible path toward the back cover of the Z volume. Each volume is 3 inches thick (including pages and covers), so that the entire set of volumes requires 78 inches of bookshelf. The bookworm chews through the pages and covers at a steady rate of 3/4 of an inch per month. How long will it take before the bookworm reaches the back cover of the Z volume?