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------------------------------------------------ On the first day of his cross-country trip, Mike drove 100 miles in 2 hours before stopping for lunch. After lunch, he drove 420 miles in 6 hours.

What was his average speed in miles per hour for his 8 hours of driving?

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.