Final answer:
Amy's average speed is 2 meters per second faster than Bill's for the entire trip. The provided answer options do not match the required unit of meters/second.
Step-by-step explanation:
The question asks how much faster Amy's average speed is compared to Bill's when riding their bikes to school. Amy takes 40 minutes to travel 14.4 kilometers, while Bill takes 60 minutes (20 minutes more than Amy). First, we need to find Amy's average speed in km/min; this is done by dividing distance by time: 14.4 km / 40 min = 0.36 km/min. Bill's average speed is 14.4 km / 60 min = 0.24 km/min.
To find the difference in their speeds, we subtract Bill's speed from Amy's: 0.36 km/min - 0.24 km/min = 0.12 km/min. Since the question asks for the speed in meters per second (m/s), we must convert the speed difference. One kilometer is 1000 meters, and one minute is 60 seconds, leading to a conversion factor of (1000 m / 1 km) * (1 min / 60 s).
Applying the conversion to 0.12 km/min, we get 0.12 km/min * (1000 m / 1 km) * (1 min / 60 s) = 2 m/s. Therefore, Amy's average speed is 2 meters per second faster than Bill's for the entire trip. However, the options provided in the question (A to D) are not in the correct unit of measurement for speed, as the question was asking for meters per second.