The characters combine to create a vivid and poetic image: “each rushes towards east and west.” The use of opposite cardinal directions (east and west) emphasizes the totality of the separation and that the paths are diverging, not just parallel.
The connotation is generally neutral to slightly sad. It's not inherently negative; it's a factual, reflective statement about a life transition. It focuses on the divergence of paths rather than any conflict that might have caused it.