An eagle sits atop a building \(24 \ m\) high. A rabbit is at a distance of \(24 \ m\) from the base of the building, moving straight toward its burrow at the base of the building. Seeing the rabbit, the eagle flies straight down to catch it. If both travel at the same speed and meet at an equal distance from their starting points, how far did the rabbit run before it was caught?
Answer: \(m\).
(Note: Round off the answer to \(1\) decimal place, if necessary.)