Final answer:
The speed of the wind is 2 mph, the total time taken for the round trip is 5 hours, and the speed against the wind is 6 mph.
Step-by-step explanation:
The subject of this question is Mathematics, specifically dealing with problems in speed, distance, and time which are typical in a High School setting.
In order to calculate the speed of the wind, we need to consider Berto's riding speeds with and against the wind. If his average speed is 8 mph, this would mean that with the wind, he would be traveling faster than this, and against the wind, slower.
A) Let's denote the speed of the wind as w. When Berto is riding with the wind, his effective speed would be 8 + w mph; against the wind, it would be 8 - w mph. Given that he travels 20 miles with the wind in 2 hours, we have an equation 20 miles = 2 hours * (8 + w) mph. Solving this, we find w = 2 mph. This means the wind speed is 2 mph.
B) For the total time taken for the round trip, we simply add the time taken for both trips, which is 2 hours with the wind and 3 hours against the wind, getting a total of 5 hours.
C) The speed against the wind can be calculated by subtracting the wind speed from the average bike speed, so 8 mph - 2 mph = 6 mph. Thus, the speed against the wind is 6 mph.