#### Answer

$9$ minutes

#### Work Step by Step

Step 1: The formula to be used here is $w=\frac{\theta}{t}$.
Step 2: To find $t$, we rearrange the formula to $t=\frac{\theta}{w}$.
Step 3: After substituting the values of $\theta$ and $w$ provided by the question into this formula, the equation becomes $t=\frac{\frac{3\pi}{8}}{\frac{\pi}{24}}$
Step 4: $t=\frac{3\pi}{8}\times\frac{24}{\pi}$
Step 5: After simplifying, $t$ is found to be equal to $9$ minutes.