Answer
The maximum waiting time is 206 seconds.
Work Step by Step
The below graph shows the normal curve with an unknown value of x at 1th percentile, which separates the top 1% of the distribution from the bottom 99%.
The waiting time before the meal awarded is calculated as below.
The calculation is shown below:
\[\begin{align}
& x={{\mu }_{X}}+z{{\sigma }_{X}} \\
& =138.5+2.33\left( 29 \right) \\
& =138.5+67.57 \\
& =206.07
\end{align}\]
