Question 4
The diagram shows a point $E$ on the extension of the side $DC$ of a rectangle $ABCD$. The segment $AE$ intersects the side $BC$ at $F$. Three ants, $X$, $Y$ and $Z$, all start from $A$. $X$ crawls along the path $A$-$B$-$F$-$C$, $Y$ along $A$-$F$-$E$-$C$-$D$ and $Z$ along $A$-$F$-$C$-$D$. All three crawl at the same constant speed. What is their order of finish to their respective destinations? List them from the one which finishes soonest to the one which finishes latest.
