Initially, we need to determine how fast he skis in a minute without considering any speed increase. To do that, we'll divide the total distance by the time. 960 divided by 5 equals 192. Therefore, his speed is 192 meters per second. Now, let's add 20 to this figure. 192 plus 20 equals 212. Now, to calculate how far he can travel in 10 minutes, we multiply 212 by 10. 212 times 10 equals 2120. Thus, Alex can cover 2120 meters in 10 minutes.