The family trip to Grandma's consisted of both a train ride and a car ride. The average speed of the train ride was 76 miles per hour, and the average sp the car ride was 51 miles per hour. The entire trip lasted 8 hours.
Let $x$ be the number of hours the train ride lasted. Write an expression for the total distance of the trip, in miles.
\begin{tabular}{|l|l|l|}
\hline total distance (in miles) & $\frac{\square}{\square}$ & \\
$\times$ & 5 \\
\hline
\end{tabular}
Answer
Simplify the expression to get the final answer: \(\boxed{25x + 408}\)
Step 1 ：Let $x$ be the number of hours the train ride lasted. The total distance of the trip would be the sum of the distance covered by the train and the distance covered by the car. The distance covered by each can be calculated by multiplying the time spent on each by their respective speeds. Since the total time spent is 8 hours, the time spent on the car would be 8 - x hours.
Step 2 ：The total distance of the trip, in miles, can be expressed as \(76x + 51(8 - x)\).
Step 3 ：Simplify the expression to get the final answer: \(\boxed{25x + 408}\)
