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!
2.7
Va = 14,400m / (2/3)h = 21,600m/h = Amy's sped.
Vb = 14,400m / 1h = 14400m/h. = Bill's
speed.
Amy = 21,600 - 14,400 = 7200m/h Faster.
Amy = 7200m/h * (1/3600)h/s = 2m/s faster than Bill.
6 m/s
2 ms
To find Amy's average speed for the entire trip, we can follow these steps:
Step 1: Convert the time taken by Amy to hours.
Since Amy took 40 minutes to arrive at school, we need to convert it to hours by dividing 40 minutes by 60 minutes per hour:
40 minutes / 60 minutes/hour = 0.67 hours.
Step 2: Calculate the distance traveled by Amy.
The distance from their neighborhood to school is given as 14.4 kilometers.
Step 3: Calculate Amy's average speed.
Amy's average speed is calculated by dividing the distance traveled by the time taken:
Average speed = Distance / Time.
Average speed = 14.4 kilometers / 0.67 hours.
Now, we need to convert the average speed from kilometers per hour to meters per second. To do this, we need to follow these conversions:
1 kilometer = 1000 meters.
1 hour = 3600 seconds.
To convert the average speed to meters per second, we will:
- Convert kilometers to meters by multiplying by 1000.
- Convert hours to seconds by multiplying by 3600.
Average speed = (14.4 kilometers * 1000 meters/kilometer) / (0.67 hours * 3600 seconds/hour).
Now, let's calculate the answer:
Average speed = (14.4 * 1000) / (0.67 * 3600).
Average speed = 14,400 / 2,412.
Average speed = 5.98 meters per second (rounded to two decimal places).
Therefore, Amy's average speed for the entire trip is approximately 5.98 meters per second.