To determine how fast the plane was traveling on Jim's trip, we need to calculate the average speed. Here's how:
### Step-by-Step Solution:
1. Identify the Given Values:
- Distance (D): The total distance Jim flew was [tex]\( 2,786.5 \)[/tex] miles.
- Time (T): The total time taken for the trip was [tex]\( 14.5 \)[/tex] hours.
2. Use the Formula for Speed:
The formula to calculate speed ([tex]\( S \)[/tex]) is:
[tex]\[
S = \frac{D}{T}
\][/tex]
where [tex]\( D \)[/tex] is the distance and [tex]\( T \)[/tex] is the time.
3. Substitute the Given Values into the Formula:
Plug in the distance and the time into the formula:
[tex]\[
S = \frac{2,786.5 \text{ miles}}{14.5 \text{ hours}}
\][/tex]
4. Calculate the Speed:
Perform the division:
[tex]\[
S = 192.17241379310346 \text{ miles per hour}
\][/tex]
5. Round to the Nearest Tenth:
The problem asks us to round the result to the nearest tenth:
[tex]\[
S \approx 192.2 \text{ miles per hour}
\][/tex]
Thus, the speed of the plane was approximately [tex]\( 192.2 \)[/tex] miles per hour.
