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The formula for average speed when traveling a distance of [tex][tex]$d$[/tex][/tex] over a time [tex][tex]$t$[/tex][/tex] is [tex][tex]$\frac{d}{t}$[/tex][/tex].

Jeff says, "I can run 7 kilometers per hour!"
Cameron says, "I can run 100 meters per minute!"

Which one is faster?

A. Jeff is faster than Cameron.
B. Cameron is faster than Jeff.
C. Jeff and Cameron are equally fast.

Sagot :

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.