Han ran 10 meters in 2.7 seconds. Priya ran 10 meters in 2.4 seconds. a. Who ran faster? Explain how you know. Priya ran faster because they both ran 10 meters but Priya ran 2.4 seconds for 10 meters and Han ran 2.7 seconds in 10 meters so Han ran 3 second more than Priya so Priya ran faster. b. At this rate, how long would it take each person to run 50 meters? Explain or show your reasoning. It will take Han
The Correct Answer and Explanation is:
a. Who ran faster?
Correct answer: Priya ran faster.
Explanation:
Both Han and Priya ran the same distance—10 meters—but in different times. Han took 2.7 seconds, and Priya took 2.4 seconds. Since the distance is the same, the person who took less time ran faster. Priya took less time (2.4 seconds < 2.7 seconds), so she is faster.
The statement that “Han ran 3 seconds more than Priya” is incorrect because 2.7 minus 2.4 equals 0.3 seconds, not 3 seconds. Even though the time difference is small, Priya is still faster because she completed the same task in less time.
b. At this rate, how long would it take each person to run 50 meters?
Correct answers:
- Han: 13.5 seconds
- Priya: 12 seconds
Explanation:
To find out how long it would take each person to run 50 meters, we multiply the time it takes to run 10 meters by 5 (since 50 is 5 times 10):
For Han:
Han runs 10 meters in 2.7 seconds.
So for 50 meters:
2.7 seconds × 5 = 13.5 seconds
For Priya:
Priya runs 10 meters in 2.4 seconds.
So for 50 meters:
2.4 seconds × 5 = 12 seconds
This calculation shows that Priya would still be faster than Han over a longer distance. The same reasoning applies: the one who takes less time to run a given distance is faster. Since Priya runs each 10 meters segment quicker, she will always be ahead of Han when running the same distances at the same pace.
