$A$, $B$ and $C$ start simultaneously from $X$ to $Y$. $A$ reaches $Y$, turns back and meet $B$ at a distance of 11 km from $Y$. $B$ reached $Y$, turns back and meet $C$ at a distance of 9 km from $Y$. If the ratio of the speeds of $A$ and $C$ is $3:2$, what is the distance between $X$ and $Y$?
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