Final answer:
The total distance traveled is 215 miles, and the average speed for the trip is approximately 47.78 miles per hour, calculated by dividing the total distance by the total time spent traveling.
Step-by-step explanation:
To calculate the total distance traveled, we simply add up the distances covered during each leg of the trip. We have:
- First leg: 85 miles
- Second leg: 75 miles
- Third leg: 55 miles
Adding these together, we get 85 + 75 + 55 = 215 miles as the total distance traveled.
Next, to find the average speed, we need to calculate the total time spent traveling. We know that:
- The first leg took 2 hours.
- The second leg took 1.5 hours.
- The rest break took 0.5 hours (not included in travel time).
- The third leg took 1 hour.
This gives us 2 + 1.5 + 1 = 4.5 hours of total travel time. Using the formula for average speed (average speed = total distance / total time), we find:
Average speed = 215 miles / 4.5 hours ≈ 47.78 miles per hour (rounded to two decimal places).
Therefore, the total distance traveled is 215 miles and the average speed for the trip is approximately 47.78 mph.