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

Jeff and Cameron are arguing about which one of them is faster. Jeff says, "I can run 7 kilometers per hour!" and Cameron says, "I can run 100 meters per minute!"

Which one is faster?

Choose one answer:
A. Jeff is faster than Cameron.
B. Cameron is faster than Jeff.
C. Jeff and Cameron are equally fast.


Sagot :

Alright, let's break down the problem step-by-step.

1. Understand Jeff's Speed:
- Jeff runs at a speed of 7 kilometers per hour.

2. Understand Cameron's Speed:
- Cameron runs at a speed of 100 meters per minute.

3. Convert Cameron's Speed to the Same Units as Jeff's Speed:
- Jeff's speed is given in kilometers per hour, so we need to convert Cameron's speed from meters per minute to kilometers per hour for a fair comparison.
- We know that:
- 1 kilometer = 1000 meters
- 1 hour = 60 minutes
- Cameron's speed in meters per minute: 100 meters per minute.
- Convert meters per minute to kilometers per hour:
1. First, convert meters to kilometers:
[tex]\[ 100 \text{ meters} = 0.1 \text{ kilometers} \][/tex]
2. Since Cameron runs 0.1 kilometers in 1 minute, we need to find out how many kilometers he would run in 1 hour:
[tex]\[ \text{Cameron's speed in kilometers per hour} = 0.1 \text{ kilometers per minute} \times 60 \text{ minutes per hour} \][/tex]
[tex]\[ = 6 \text{ kilometers per hour} \][/tex]

4. Compare Jeff's Speed and Cameron's Speed:
- Jeff's speed: 7 kilometers per hour.
- Cameron's speed: 6 kilometers per hour.

5. Determine Who is Faster:
- Since 7 kilometers per hour (Jeff's speed) is greater than 6 kilometers per hour (Cameron's speed), Jeff is faster.

Hence, the answer is:

(A) Jeff is faster than Cameron.