【Question 9】  
$A$ and $B$ start running around the track from the same point at the same time. If they run in the same direction, $A$ catches up with $B$ after 3 hours; if they run in opposite directions, they meet after 2 hours. The ratio of the running speeds of $A$ and $B$ is $\qquad$.
【Analysis and Solution】Travel problem.

Let the speed of $A$ be $x$ meters/hour, and the speed of $B$ be $y$ meters/hour;

According to the problem, we get $3(x-y)=2(x+y)$;
$x=5y ; x: y=5: 1=5$; Therefore, the ratio of the running speeds of $A$ and $B$ is 5.