Final answer:
Erik's average speed is found by dividing the distance he travels by the time taken. After converting 26 2/3 miles to an improper fraction and dividing by 2/3 hour, his average speed is calculated as 40 mph.
Step-by-step explanation:
To calculate Erik's average speed in miles per hour, we need to use the formula:
Speed = Distance / Time
He rides 26 2/3 miles in 2/3 hour. Converting mixed fraction 26 2/3 to an improper fraction gives us 80/3 miles. Now we divide this distance by the time:
80/3 miles / (2/3 hours) = (80/3) / (2/3) miles/hour = 40 miles/hour
Therefore, Erik's average speed is 40 mph, which corresponds to option B.