Final answer:
The cycler's average speed is calculated by dividing the total distance of 130 km by the total time of 2 hours, resulting in an average speed of 65 km/h.
Step-by-step explanation:
To calculate the cycler's speed, we need the total distance traveled and the total time taken. Since the cycler rides due south for 65 km and returns by the same distance, the total distance is 65 km x 2 = 130 km. Given that the total trip takes 2 hours, we can express this in minutes for convenience, which is 2 hours x 60 minutes/hour = 120 minutes.
The formula for speed is speed = distance / time. Therefore, the cycler's average speed is 130 km / 2 hours = 65 km/h.
To calculate the cycler's speed, we need to divide the total distance traveled by the total time taken. In this case, the cycler traveled 65 km in 2 hours, so her average speed is 65 km / 2 hours = 32.5 km/h.