Answer :
To determine who is faster, Jeff or Cameron, we will convert their speeds to the same unit for comparison. We have Jeff's speed in kilometers per hour and Cameron's speed in meters per minute. Let's convert Jeff's speed to meters per minute.
Step 1: Convert Jeff's speed from kilometers per hour to meters per minute
1 kilometer = 1000 meters
1 hour = 60 minutes
Jeff's speed is 7 kilometers per hour. To convert this speed into meters per minute:
[tex]\[ 7 \, \text{kilometers per hour} = 7 \times 1000 \, \text{meters per hour} = 7000 \, \text{meters per hour} \][/tex]
Now, to convert from meters per hour to meters per minute:
[tex]\[ 7000 \, \text{meters per hour} = \frac{7000}{60} \, \text{meters per minute} \approx 116.67 \, \text{meters per minute} \][/tex]
So, Jeff's speed is approximately 116.67 meters per minute.
Step 2: Compare the speeds
Cameron's speed is already given in meters per minute, which is 100 meters per minute.
Step 3: Determine who is faster
Now we can compare the two speeds directly, as they are both in meters per minute:
- Jeff's speed: 116.67 meters per minute
- Cameron's speed: 100 meters per minute
Since [tex]\( 116.67 \, \text{meters per minute} > 100 \, \text{meters per minute} \)[/tex], Jeff is faster than Cameron.
Conclusion:
The correct answer is:
(A) Jeff is faster than Cameron.
Step 1: Convert Jeff's speed from kilometers per hour to meters per minute
1 kilometer = 1000 meters
1 hour = 60 minutes
Jeff's speed is 7 kilometers per hour. To convert this speed into meters per minute:
[tex]\[ 7 \, \text{kilometers per hour} = 7 \times 1000 \, \text{meters per hour} = 7000 \, \text{meters per hour} \][/tex]
Now, to convert from meters per hour to meters per minute:
[tex]\[ 7000 \, \text{meters per hour} = \frac{7000}{60} \, \text{meters per minute} \approx 116.67 \, \text{meters per minute} \][/tex]
So, Jeff's speed is approximately 116.67 meters per minute.
Step 2: Compare the speeds
Cameron's speed is already given in meters per minute, which is 100 meters per minute.
Step 3: Determine who is faster
Now we can compare the two speeds directly, as they are both in meters per minute:
- Jeff's speed: 116.67 meters per minute
- Cameron's speed: 100 meters per minute
Since [tex]\( 116.67 \, \text{meters per minute} > 100 \, \text{meters per minute} \)[/tex], Jeff is faster than Cameron.
Conclusion:
The correct answer is:
(A) Jeff is faster than Cameron.