Step 1: Understand how the chimes work.
If it takes 5 seconds to chime 5 times, there are only 4 intervals between the first and the last chime.
Thus, each interval = \(5/4 = 1.25\) seconds.
Step 2: For 10 Cuckoos.
10 Cuckoos have \(9\) intervals.
Time = \(9 \times 1.25 = 11.25\) seconds.
\[
\boxed{11.25 \ \text{seconds}}
\]