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Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what average speed does Aidan drive home?

\begin{tabular}{|c|c|c|c|}
\hline & Distance [tex]$(mi)$[/tex] & Rate [tex]$(mph)$[/tex] & Time (hr) \\
\hline Trip to School & 16 & 40 & \\
\hline Trip Home & 16 & [tex]$x$[/tex] & \\
\hline
\end{tabular}

A. 17 mph
B. 27 mph
C. 32 mph
D. 56 mph

Sagot :

GinnyAnsweridn
Let's break down the problem step by step to determine the average speed Aidan drives home.

1. Determine the time taken to drive to school:
- The distance to school is 16 miles.
- He averages a speed of 40 miles per hour to school.
- Time taken to drive to school = distance / speed = [tex]\( \frac{16}{40} \)[/tex] hours = 0.4 hours.

2. Calculate the remaining time for the trip home:
- The total trip (to school and back) takes 1 hour.
- Time taken for the trip to school is 0.4 hours.
- Therefore, the time taken to drive home = total trip time - time to school = 1 hour - 0.4 hours = 0.6 hours.

3. Determine the average speed driving home:
- The distance home is also 16 miles.
- The time taken to drive home is 0.6 hours.
- Average speed for the trip home = distance / time = [tex]\( \frac{16}{0.6} \)[/tex] miles per hour = 26.67 miles per hour (approximately).

Thus, the average speed at which Aidan drives home is around 27 miles per hour.

The correct answer is:
- 27 mph
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