Final answer:
Kevin is 0.3 km/minute or 18 km/h faster than Katherine in reaching school, calculated by taking the difference in their speeds over the same 5 km distance.
Step-by-step explanation:
To calculate how much faster Kevin is than Katherine in reaching school, we first need to consider their travel times and the distance they covered. Katherine takes 25 minutes to travel 5 km, while Kevin takes only 10 minutes to travel the same distance. To find the speed of each, we use the formula speed = distance/time.
Katherine's speed is 5 km / 25 minutes = 0.2 km/minute. Kevin's speed is 5 km / 10 minutes = 0.5 km/minute. To find out how much faster Kevin is, we subtract Katherine's speed from Kevin's speed: 0.5 km/minute - 0.2 km/minute = 0.3 km/minute. Therefore, Kevin is 0.3 km/minute faster than Katherine.
If we want to express this in kilometers per hour (km/h), we multiply by 60 minutes (since there are 60 minutes in an hour): 0.3 km/minute × 60 minutes/hour = 18 km/h. Kevin is 18 km/h faster than Katherine.