KöMaL 2017 C1409

The trunk of an old plane tree is cylindrical, with a perimeter of 2 metres. On one side of the tree trunk, a snail is crawling up the tree, in the plane of the axis of the cylinder. There are only 3 cm remaining from a height of 2 metres. In that time instant, another snail is just about to start its journey up the tree on the opposite side when they both notice each other. The two snails immediately start to crawl towards each other along the shortest possible path. What distance will they cover until they meet if their speeds are equal?