3. Starting on the 22nd floor of their apartment building, Taya goes up the stairs and Jenna goes up by elevator. Beginning when Taya starts going up, Jenna waits for 2 minutes for the elevator. Taya goes up from each floor to the next floor in 15 seconds. The elevator goes up from each floor to the next floor in 3 seconds. Taya and Jenna arrive on the $n$th floor at exactly the same time. What is the value of $n$ ?
3. From the 22 nd floor to the $n$th floor, Taya and Jenna each go up $n-22$ floors.
Since Taya goes from each floor to the next in 15 seconds, this takes her $15 \times(n-22)$ seconds. Since Jenna waits for 2 minutes, she waits for 120 seconds. Since Jenna goes from each floor to the next in 3 seconds, it takes a total of $120+3 \times(n-22)$ seconds to reach the $n$th floor.
Since their travel times are equal, then
$$
\begin{aligned}
15 \times(n-22) & =120+3 \times(n-22) \\
15 \times(n-22)-3 \times(n-2) & =120 \\
12 \times(n-22) & =120 \\
n-22 & =10
\end{aligned}
$$
and so $n=32$.
ANSWER: $n=32$