Nicole rides her bike 24 miles in 2 hours.
Drag and drop a rate quantity from the box to each blank to calculate her rate in meters per minute, m/ min
24 miles/ 2 hours • blank • blank • blank
Answer choices
A. 100 m/ 1 km
B. 60 min/ 1hr
C. 1 km/ 1,000 m
D. 1 mile/ 1.6 km
E. 1 hr/ 60 min
F. 1 km/ 100 m
G. 1.6 km/ 1 mile
H. 1,000 m/ 1 km
To calculate the rate in meters per minute, we need to convert the distance from miles to meters and the time from hours to minutes.
First, we need to convert 24 miles to meters. We know that 1 mile is equal to 1.6 kilometers, and 1 kilometer is equal to 1000 meters. So, 24 miles is equal to (24 miles) * (1.6 km/ 1 mile) * (1000 m/ 1 km) = 38,400 meters.
Next, we need to convert 2 hours to minutes. Since there are 60 minutes in 1 hour, 2 hours is equal to (2 hours) * (60 min/ 1 hr) = 120 minutes.
So, the rate is 38,400 meters per 120 minutes.
We can simplify this rate by dividing both the numerator and denominator by their greatest common factor, which is 240.
So, the simplified rate is (38,400 meters/ 240 minutes).
The correct answer choices to fill in the blanks are:
- 38,400 meters in the numerator,
- 120 minutes in the first blank,
- and 240 minutes in the second blank.
To calculate Nicole's rate in meters per minute, we need to convert both miles to kilometers and hours to minutes.
- The conversion factor from miles to kilometers is 1 mile = 1.6 kilometers (D. 1 mile/ 1.6 km)
- The conversion factor from hours to minutes is 1 hour = 60 minutes (E. 1 hr/ 60 min)
We can now use these conversion factors to calculate Nicole's rate in meters per minute:
24 miles / 2 hours * (1.6 km / 1 mile) * (1 hr / 60 min)
Now we can multiply the given values and cancellation factors:
= (24 * 1.6 * 1) km / (2 * 1 * 60) min
= (24 * 1.6) km / 120 min
= 38.4 km / 120 min
So, her rate is 38.4 kilometers per 120 minutes.
To further simplify the rate, we can divide both values by their greatest common divisor, which is 4:
= (38.4 km / 4) / (120 min / 4)
= 9.6 km / 30 min
Therefore, Nicole's rate is 9.6 kilometers per 30 minutes or 9.6 m/min.
To calculate Nicole's rate in meters per minute, we need to convert 24 miles to meters and 2 hours to minutes.
First, let's convert miles to meters. We know that 1 mile is equal to 1.6 kilometers (km), and 1 km is equal to 1,000 meters. So, we can use the conversion factor of 1 mile/1.6 km * 1 km/1,000 m to convert miles to meters.
24 miles * (1.6 km/1 mile) * (1 km/1,000 m) = 24 * 1.6 * 1/1,000 = 38.4 m
Now, let's convert hours to minutes. We know that 1 hour is equal to 60 minutes. So, we can use the conversion factor of 1 hour/60 minutes to convert hours to minutes.
2 hours * (60 minutes/1 hour) = 2 * 60 = 120 min
Now we have all the quantities to calculate the rate.
24 miles/2 hours * 38.4 m / 120 min = (24 * 38.4) / (2 * 120) = 921.6 / 240 = 3.84 m/min
Therefore, the answer is 3.84 m/min.
From the provided answer choices, the rate quantity that should be placed in the blanks is:
B. 60 min/ 1 hr
E. 1 hr/ 60 min
H. 1,000 m/ 1 km