Final answer:
To find the distance Alex can ski in 10 minutes at an increased speed, we first calculate his original speed, then apply the increment, and finally multiply by the time. However, the result of 2,120 meters does not match the given options, suggesting a need to check calculations.
Step-by-step explanation:
First, we need to calculate Alex's original skiing speed by dividing the distance he can ski by the time it takes. Alex skis 960 meters in 5 minutes, so his speed is 192 meters per minute (960 meters ÷ 5 minutes).
Next, we'll increase his speed by 20 meters per minute, making his new speed 212 meters per minute (192 + 20).
Now, to find out how far Alex can ski in 10 minutes at his increased speed, we multiply the speed by the time. 212 meters per minute × 10 minutes gives us 2,120 meters.
However, this does not match the provided answer options. The closest correct option would be to notice a mistake was made either in the speed increment or the calculation. Revisiting the calculations is important to ensure accuracy.