Sydney's family drove from Louisville to Chicago to Detroit and then directly back to Louisville.
How much farther did they drive going to Detroit than returning from Detroit?
A map shows the distance from Louisville to Chicago is 300 miles. The distance from Chicago to Detroit is 283 miles. The distance from Detroit to Louisville is 361 miles.
They drove a total distance of (300 + 283 + 361) = 944 miles round trip.
The distance from Louisville to Detroit is (300 + 283) = 583 miles going there.
The distance from Detroit to Louisville is 361 miles returning.
Therefore, they drove (583 - 361) = 222 miles farther going to Detroit than returning from Detroit.