Final answer:
The student on the scooter takes approximately 277.8 seconds, while the student on the bike takes about 466.4 seconds.
Step-by-step explanation:
The trip takes different amounts of time for the two students because they are traveling at different speeds. To calculate the time taken for each student, we can use the formula:
time = distance / speed
For the student on the scooter:
time = 2.5 km / 9.0 m/s
Converting the distance to meters:
time = 2500 m / 9.0 m/s = 277.8 seconds
For the student on the bike:
First, we need to convert the speed from miles per hour to meters per second:
speed = 12 mi/hr × 1609.34 m/mi / 3600 s/hr = 5.36 m/s
time = 2.5 km / 5.36 m/s = 466.4 seconds
Therefore, the trip takes approximately 277.8 seconds for the student on the scooter and 466.4 seconds for the student on the bike.