Question
Kendra drove 300 km in 2 hours. Henry drove the same 300 km in 3 hours. If Kendra and Henry had the same average speed for their trips, what must be true?
A.
Kendra must have stopped for one hour during her trip.
B.
Henry must have stopped for one hour during his trip.
C.
Kendra must have had a lower velocity than Henry.
D.
Henry must have had lower velocity than Kendra.
Gregory is visiting his grandmother, who lives 200 km from his house. While traveling there, Gregory had an average speed of 100 km/h. Which of the following is true about Gregory's trip?
A.
Gregory must have maintained a constant velocity of 100 km/h.
B.
Gregory must have maintained a constant speed of 100 km/h.
C.
Gregory must have stopped sometime during his trip.
D.
Gregory must have completed the trip in 2 hours.
A.
Kendra must have stopped for one hour during her trip.
B.
Henry must have stopped for one hour during his trip.
C.
Kendra must have had a lower velocity than Henry.
D.
Henry must have had lower velocity than Kendra.
Gregory is visiting his grandmother, who lives 200 km from his house. While traveling there, Gregory had an average speed of 100 km/h. Which of the following is true about Gregory's trip?
A.
Gregory must have maintained a constant velocity of 100 km/h.
B.
Gregory must have maintained a constant speed of 100 km/h.
C.
Gregory must have stopped sometime during his trip.
D.
Gregory must have completed the trip in 2 hours.
Answers
GPT-4o mini
To address the first question regarding Kendra and Henry's trips:
Kendra drove 300 km in 2 hours, which gives her average speed:
\[ \text{Speed}_\text{Kendra} = \frac{300 \text{ km}}{2 \text{ hours}} = 150 \text{ km/h} \]
Henry drove 300 km in 3 hours, which gives his average speed:
\[ \text{Speed}_\text{Henry} = \frac{300 \text{ km}}{3 \text{ hours}} = 100 \text{ km/h} \]
Since Kendra and Henry did not have the same average speed (150 km/h for Kendra versus 100 km/h for Henry), none of the provided options would be true if we took "the same average speed" literally. However, looking at your question for implications and assuming you meant they would need to have the same speeds, the correct interpretation would be that Kendra traveled faster than Henry, making the true statement:
**D. Henry must have had lower velocity than Kendra.**
For the second question regarding Gregory's trip:
Gregory traveled to his grandmother's house 200 km away at an average speed of 100 km/h. The time it would take to reach her would be:
\[ \text{Time} = \frac{200 \text{ km}}{100 \text{ km/h}} = 2 \text{ hours} \]
This means we can infer:
D. Gregory must have completed the trip in 2 hours.
Regarding the remaining options:
- A (constant velocity) cannot be determined as there may have been changes in direction.
- B (constant speed) appears to be true if we assume he traveled straight at that speed without stopping.
- C (that he must have stopped) is not necessary; he could complete the trip without stops.
Thus, while option B could potentially be true, option D is the most unambiguously correct.
Kendra drove 300 km in 2 hours, which gives her average speed:
\[ \text{Speed}_\text{Kendra} = \frac{300 \text{ km}}{2 \text{ hours}} = 150 \text{ km/h} \]
Henry drove 300 km in 3 hours, which gives his average speed:
\[ \text{Speed}_\text{Henry} = \frac{300 \text{ km}}{3 \text{ hours}} = 100 \text{ km/h} \]
Since Kendra and Henry did not have the same average speed (150 km/h for Kendra versus 100 km/h for Henry), none of the provided options would be true if we took "the same average speed" literally. However, looking at your question for implications and assuming you meant they would need to have the same speeds, the correct interpretation would be that Kendra traveled faster than Henry, making the true statement:
**D. Henry must have had lower velocity than Kendra.**
For the second question regarding Gregory's trip:
Gregory traveled to his grandmother's house 200 km away at an average speed of 100 km/h. The time it would take to reach her would be:
\[ \text{Time} = \frac{200 \text{ km}}{100 \text{ km/h}} = 2 \text{ hours} \]
This means we can infer:
D. Gregory must have completed the trip in 2 hours.
Regarding the remaining options:
- A (constant velocity) cannot be determined as there may have been changes in direction.
- B (constant speed) appears to be true if we assume he traveled straight at that speed without stopping.
- C (that he must have stopped) is not necessary; he could complete the trip without stops.
Thus, while option B could potentially be true, option D is the most unambiguously correct.