To determine how many miles further along the route the second automobile is compared to the first one at the end of 5 hours, we need to calculate the distance each automobile has traveled and find the difference between those distances.
Given:
- The first automobile averages 40 miles per hour.
- The second automobile averages 55 miles per hour.
- The time traveled is 5 hours.
Step-by-step solution:
1. Calculate the distance traveled by the first automobile:
- Speed of the first automobile = 40 miles per hour
- Time traveled = 5 hours
- Distance = Speed × Time
- Therefore, the distance traveled by the first automobile = 40 miles/hour × 5 hours = 200 miles.
2. Calculate the distance traveled by the second automobile:
- Speed of the second automobile = 55 miles per hour
- Time traveled = 5 hours
- Distance = Speed × Time
- Therefore, the distance traveled by the second automobile = 55 miles/hour × 5 hours = 275 miles.
3. Determine the difference in distance traveled by the two automobiles:
- Distance traveled by the second automobile = 275 miles
- Distance traveled by the first automobile = 200 miles
- Difference in distance = Distance traveled by the second automobile - Distance traveled by the first automobile
- Therefore, the difference in distance = 275 miles - 200 miles = 75 miles.
Hence, the second automobile is 75 miles further along the route than the first automobile after 5 hours.
The correct answer is:
C. [tex]\((55 \times 5)-(40 \times 5)\)[/tex]
