15. (6 points) One day, Tom and Jerry were both at point $A$. Jerry noticed a dish of food at point $D$ and ran towards it along the direction $A$ $\rightarrow B \rightarrow D$. After 5 seconds, Tom realized and ran towards $D$ along the direction $A \rightarrow C \rightarrow D$. Given that Tom runs 5 meters per second and Jerry runs 4 meters per second. Who will arrive at point $D$ first? $\qquad$
【Analysis】First, calculate the distances traveled by Tom and Jerry (to reach point $D$), then use "distance $\div$ speed $=$ time" to calculate the time it takes for Jerry and Tom to reach point $D$ respectively; then subtract the early start time (5 seconds) from the time it takes for Jerry to reach point $D$, which gives the time Jerry uses after starting simultaneously, then compare, and draw a conclusion.

【Solution】Solution: Tom: $(13+27) \div 5$,
$$
\begin{array}{l}
=40 \div 5, \\
=8 \text { (seconds); } \\
\text { Jerry: } 32+12 \text { = } \\
=44 \div 4-5, \\
=6 \text { (seconds); }
\end{array}
$$

Jerry: $(32+12) \div 4-5$,
$6<8$, Jerry arrives first;
The answer is: Jerry.