Karen entered a 10K (K=kilometers) race and finished in 48 minutes. At what average rate did Karen run in kilometers er minute and in kilometers in hour?
Kilometers per minute:
10 km / 48 min = 2 • 5 km / 2 • 24 min = 5 km / 24 min = 5 / 24 kn / h
Kilometers per hour:
1 h = 60 min
1 min = 1 / 60 h
48 min = 48 • 1 / 60 h = 48 / 60 h =
12 • 4 / 12 • 5 h = 4 / 5 h
48 min = 4 / 5 h
10 km / 48 min = 10 km / ( 4 / 5 ) h =
5 • 10 km / 4 h = 50 km / 4 h =
2 • 25 km / 2 • 2 h = 25 / 2 km / h = 12.5 km / h
My typo.
5 km / 24 min = 5 / 24 km / min
To find the average rate at which Karen ran, we need to divide the total distance covered by the time taken.
Karen ran a 10K race in 48 minutes.
To find the average rate in kilometers per minute, we divide the total distance (10 kilometers) by the time taken (48 minutes):
Average rate = Total distance / Time taken
Average rate = 10 kilometers / 48 minutes
Average rate ≈ 0.2083 kilometers per minute
To find the average rate in kilometers per hour, we need to convert the time taken from minutes to hours. There are 60 minutes in an hour, so we divide the given time (48 minutes) by 60:
Time taken in hours = 48 minutes ÷ 60 minutes per hour
Time taken in hours ≈ 0.8 hour
Now, to find the average rate in kilometers per hour, we divide the total distance (10 kilometers) by the time taken in hours:
Average rate = Total distance / Time taken
Average rate = 10 kilometers / 0.8 hour
Average rate = 12.5 kilometers per hour
Therefore, Karen ran at an average rate of approximately 0.2083 kilometers per minute and 12.5 kilometers per hour.
To find the average rate at which Karen ran in kilometers per minute, divide the total distance she ran (10K) by the time it took her (48 minutes).
Average rate in kilometers per minute = Distance / Time = 10K / 48 minutes
To find the average rate in kilometers per hour, we need to convert the time from minutes to hours. Since there are 60 minutes in an hour, divide the time (48 minutes) by 60 to get the equivalent time in hours.
Time in hours = 48 minutes / 60 minutes per hour
Finally, divide the distance (10K) by the time in hours to find the average rate in kilometers per hour.
Average rate in kilometers per hour = Distance / Time in hours = 10K / (48 minutes / 60 minutes per hour)