Certainly! Let's break down Megan's commute and use the given information to fill in the blanks.
1. Train Speed:
- We know the train speed is 20 miles per hour faster than her driving speed.
- If Megan drives at an average speed of 45 miles per hour, the train speed is [tex]\(45 + 20 = 65\)[/tex] miles per hour.
- So, the average speed of the train is represented by 65 miles per hour.
2. Driving Time:
- The driving distance is 8 miles, and she drives at a speed of 45 miles per hour.
- The time taken to drive is [tex]\(\frac{8}{45}\)[/tex], which is approximately 0.178 hours.
3. Train Time:
- The train distance is 21 miles, and the train speed is 65 miles per hour.
- The time taken for the train ride is [tex]\(\frac{21}{65}\)[/tex], which is approximately 0.323 hours.
4. Total Time:
- The total time for Megan's commute is the sum of the driving time and the train time.
- Total time ≈ 0.178 hours (driving) + 0.323 hours (train) ≈ 0.501 hours.
Therefore, when Megan drives at an average speed of 45 miles/hour, it takes her approximately 0.501 hours to get to work.
