Answer :
Answer:
65 mph.
Step-by-step explanation:
Average speed = total distance travelled / total time taken
= (100 + 420) / 8
= 520 / 8
= 65 mph (answer).
Mike's average speed for his 8 hours of driving was 65 miles per hour, calculated by dividing the total distance traveled (520 miles) by the total time spent traveling (8 hours).
To calculate Mike's average speed for his 8 hours of driving on the first day of his cross-country trip, we need to use the formula for average speed:
Average Speed = Total Distance Traveled / Total Time Spent Traveling
First, we find the total distance Mike traveled by adding the distance he drove before and after lunch:
Distance before lunch: 100 miles
Distance after lunch: 420 miles
Total distance: 100 miles + 420 miles = 520 miles
Then, we add the total travel time, which was 2 hours before lunch and 6 hours after lunch:
Time before lunch: 2 hours
Time after lunch: 6 hours
Total travel time: 2 hours + 6 hours = 8 hours
Now, we can calculate the average speed:
Average Speed = 520 miles / 8 hours = 65 miles/hour
Therefore, Mike's average speed during his 8-hour trip was 65 miles per hour.