Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 kilometers away. It takes Amy 40
minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in meters/second) is Amy’s average
speed for the entire trip?
Be sure to show all necessary metric conversions!
Hate the metric system
To find Amy's average speed for the entire trip, we need to calculate the distance she traveled and the time it took her.
First, let's convert Amy's time from minutes to hours, as we'll be using the metric system.
Amy took 40 minutes to arrive, so we divide 40 by 60 (number of minutes in an hour) to convert it to hours:
40 minutes ÷ 60 = 0.67 hours
Next, we need to calculate the distance from Amy's neighborhood to school.
The distance is given as 14.4 kilometers, which is already in the metric system.
Now, we can calculate Amy's average speed:
Average speed = distance ÷ time
Average speed = 14.4 km ÷ 0.67 hours
To simplify calculations, let's convert kilometers to meters:
1 kilometer = 1000 meters
14.4 km = 14.4 × 1000 = 14400 meters
Average speed = 14400 meters ÷ 0.67 hours
To convert hours to seconds, we need to multiply by 3600 (number of seconds in an hour):
0.67 hours × 3600 = 2412 seconds
Finally, we can calculate Amy's average speed in meters per second:
Average speed = 14400 meters ÷ 2412 seconds
Average speed = 5.97 meters per second
Therefore, Amy's average speed for the entire trip is approximately 5.97 meters per second.