Shortly After Leaving on a Road Trip, Two Math Majors

Short Answer

Shortly after leaving on a road trip, two math majors realize that the car's odometer is broken. To estimate the distance they travel between 8 PM and 9 PM, they record speedometer readings every 10 minutes: $$\begin{array} { c | c | c | c | c | c | c | c | } \text { Time } & 8 : 00 & 8 : 10 & 8 : 20 & 8 : 30 & 8 : 40 & 8 : 50 & 9 : 00 \\\hline \text { Speed (mph) } & 55 & 69 & 47 & 69 & 39 & 78 & 50\end{array}$$
Using Simpson's rule and only the information in the table, get the best possible estimate of the distance they traveled between 8 PM and 9 PM. Round your answer to one decimal place.