【Question 12】  
$A B$ is 200 meters long, $B C$ is 140 meters long, and $C D$ is 20 meters long. A mouse runs from $A$ at a speed of 60 meters per minute along the step-like route towards the den $D$, while a cat runs from $A$ at a speed of 80 meters per minute along the $B, C, D$ direction to intercept the mouse. Can the cat catch the mouse? $\qquad$ (Fill in "can" or "cannot")
【Analysis and Solution】
Cleverly find the perimeter, travel problem.
Mouse: $\rightarrow$ to the right $200-20=180$ meters, $\uparrow$ upwards 140 meters, total distance is $180+140=320$ meters, time to reach the hole $D$ is $320 \div 60>5$ meters/second;
Cat: $\rightarrow$ to the right 200 meters, $\uparrow$ upwards 140 meters, $\leftarrow$ to the left 20 meters, total distance is $200+140+20=360$ meters; time to reach the hole $D$ is $360 \div 80<5$ meters/second; hence the cat's speed is faster than the mouse, i.e., the cat arrives at the hole $D$ first; therefore, the cat can catch the mouse.