Answer
$\approx41.67\text{ ft/s}$
Work Step by Step
Using the result of part (c), the rate, $r$, from the garage to Terminal B is approximately $37.62\text{ ft/s}.$
Based on the given information:
(a) the speed between Terminal A and Terminal B is $8.1\text{ ft/s}$ greater than the speed between the parking garage and Terminal A.
Let $r_1$ be the rate from the garage to Terminal A. Then the rate from Terminal A to Terminal B is $r_1+8.1$. Since the rate from garage to Terminal B is approximately $37.62$, then
$$\begin{aligned}
\frac{r_1+(r_1+8.1)}{2}&\approx37.62
\\
2r_1&\approx67.14
\\
r_1&\approx33.57
.\end{aligned}$$Hence, the rate of the monorail between Terminal A and Terminal B is
$$
r_1+8.1\approx33.57+8.1\approx41.67\text{ ft/s}
.$$
