Question
Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?
0.9 meters per second
1.6 meters per second
6.4 meters per second
10.4 meters per second
0.9 meters per second
1.6 meters per second
6.4 meters per second
10.4 meters per second
Answers
GPT-4o mini
First, let's calculate the speed of the Olympian who ran the 100-meter dash in 9.6 seconds.
Speed of the Olympian = Distance / Time
= 100 meters / 9.6 seconds
≈ 10.4167 meters per second
Now, we know Sarah the cheetah's speed is 16.8 meters per second.
Next, we'll find the difference in their speeds:
Difference = Sarah's speed - Olympian's speed
= 16.8 meters per second - 10.4167 meters per second
≈ 6.3833 meters per second
Rounding this to the nearest tenth gives:
6.4 meters per second
So, Sarah the cheetah was **6.4 meters per second** faster than the Olympian.
Speed of the Olympian = Distance / Time
= 100 meters / 9.6 seconds
≈ 10.4167 meters per second
Now, we know Sarah the cheetah's speed is 16.8 meters per second.
Next, we'll find the difference in their speeds:
Difference = Sarah's speed - Olympian's speed
= 16.8 meters per second - 10.4167 meters per second
≈ 6.3833 meters per second
Rounding this to the nearest tenth gives:
6.4 meters per second
So, Sarah the cheetah was **6.4 meters per second** faster than the Olympian.