Final answer:
To find out how many meters Alex can cover in 10 minutes after increasing his skiing speed by 20%, we can calculate his new skiing speed by multiplying his original speed by 1.2. Then, we can multiply the new speed by 10 minutes to find the distance he can cover. The correct answer is 2304 meters.
Step-by-step explanation:
To find out how many meters Alex can cover in 10 minutes after increasing his skiing speed by 20%, we first need to calculate his new skiing speed. If Alex can ski 960m in 5 minutes, his skiing speed is 960m/5min = 192m/min. To increase this speed by 20%, we can multiply it by 1.2, resulting in a new speed of 192m/min * 1.2 = 230.4m/min.
Now, to find out how many meters he can cover in 10 minutes, we can multiply his new speed by the time of 10 minutes: 230.4m/min * 10min = 2304m.
Therefore, Alex can cover 2304 meters in 10 minutes after his skiing speed is increased by 20%. The correct answer is option a) 2304 meters.