Question
Student B is 6'2 and weighs 210 lbs
Student A is 6 a claims they can lift around 220 llbs
they must carry student b a distance of about 50 feet
is it possible for student a to carry student b away
HINT!!!!!
Lifting max ≠ carrying max.
General estimate: Carrying weight over distance typically requires 60–70% of your maximum lift strength to be sustainable over short distances.
🏆 Math Battle Roles:
Team Possible: Argue it is (barely) possible, with heroic effort and adrenaline.
Team Impossible: Argue it is unrealistic based on real-world strength-to-endurance ratios.
Students should use ratios, percentages, and logical reasoning about human strength and stamina to justify their stance!
Student A is 6 a claims they can lift around 220 llbs
they must carry student b a distance of about 50 feet
is it possible for student a to carry student b away
HINT!!!!!
Lifting max ≠ carrying max.
General estimate: Carrying weight over distance typically requires 60–70% of your maximum lift strength to be sustainable over short distances.
🏆 Math Battle Roles:
Team Possible: Argue it is (barely) possible, with heroic effort and adrenaline.
Team Impossible: Argue it is unrealistic based on real-world strength-to-endurance ratios.
Students should use ratios, percentages, and logical reasoning about human strength and stamina to justify their stance!
Answers
GPT-4o mini
Let's analyze the situation based on the information provided and our understanding of strength and endurance.
**Team Possible: Argument for Carrying Student B is Possible**
1. **Max Lift vs. Endurance Carrying**: While Student A can lift approximately 220 lbs, this is their one-time max capacity. In a moment of adrenaline, they might be able to muster even more strength to pick up Student B, especially since this involves a short burst of effort.
2. **Weight of Student B**: Student B weighs 210 lbs, which is only slightly below the max lifting capacity of Student A. In a situation where Student A is motivated (adrenaline, urgent circumstance), there's a chance they could perform a partial lift and a carry.
3. **Carrying Mechanics of Adrenaline**: The human body, under extreme stress or adrenaline, can sometimes outperform its normal capabilities. While this isn’t sustainable for a long time, for a brief distance like 50 feet, it could be possible for Student A to manage.
4. **Technique**: Student A could utilize a technique to carry Student B in a way that minimizes the weight borne directly. For example, using a piggyback style or a fireman carry could distribute the weight more effectively. This method would make it easier for Student A to manage the weight despite being slightly less than 100% of their maximum lift.
5. **Mathematical Estimate**: If Student A can lift 220 lbs normally, using the carrying estimate of 60-70% for sustained efforts, they would need to be at 126-154 lbs for a sustainable carry. While 210 lbs exceeds this, it doesn't account for adrenaline or potentially lifting Student B temporarily before relocating.
**Team Impossible: Argument Against Carrying Student B is Unrealistic**
1. **Maximum Capacity Limitations**: The fact that Student A can "lift" 220 lbs does not mean they can transport that weight over any distance effectively. Lifting once and carrying constantly differ significantly in terms of energy expenditure.
2. **Sustainable Weight Ratios**: As indicated in the estimate, the sustainable weight Student A could carry is significantly lower (60-70% of their max lift strength). Thus, at 60% of 220 lbs, that would mean they should ideally carry no more than about 132 lbs, way below 210 lbs.
3. **Fatigue and Endurance**: Even if Student A could lift Student B initially, carrying 210 lbs for 50 feet will lead to fatigue very quickly. Human endurance is not merely about one-time lifts; it also involves muscular endurance, making continual movement with a heavy load drastically more difficult.
4. **Physical Mechanics**: The biomechanics of carrying someone who weighs nearly as much as you can lead to balance issues and injury risks. Student A being 6’0” might not have the right leverage compared to a 6’2" Student B, leading to inefficient carrying techniques.
5. **Real-World Examples**: In typical emergency scenarios, individuals of similar weights report difficulties carrying even a few pounds less than their max capacity for even short distances due to fatigue and muscle failure.
### Conclusion:
Given the points and estimates discussed, it is evident that, while there may be a heroic effort that might earn a brief lift, it is highly unrealistic for Student A to carry Student B a distance of 50 feet effectively, thus making Team Impossible's argument stronger. The discrepancy between lifting capacity and endurance carrying should not be underestimated, and human factors like fatigue play a big role in the practicality of such a task.
**Team Possible: Argument for Carrying Student B is Possible**
1. **Max Lift vs. Endurance Carrying**: While Student A can lift approximately 220 lbs, this is their one-time max capacity. In a moment of adrenaline, they might be able to muster even more strength to pick up Student B, especially since this involves a short burst of effort.
2. **Weight of Student B**: Student B weighs 210 lbs, which is only slightly below the max lifting capacity of Student A. In a situation where Student A is motivated (adrenaline, urgent circumstance), there's a chance they could perform a partial lift and a carry.
3. **Carrying Mechanics of Adrenaline**: The human body, under extreme stress or adrenaline, can sometimes outperform its normal capabilities. While this isn’t sustainable for a long time, for a brief distance like 50 feet, it could be possible for Student A to manage.
4. **Technique**: Student A could utilize a technique to carry Student B in a way that minimizes the weight borne directly. For example, using a piggyback style or a fireman carry could distribute the weight more effectively. This method would make it easier for Student A to manage the weight despite being slightly less than 100% of their maximum lift.
5. **Mathematical Estimate**: If Student A can lift 220 lbs normally, using the carrying estimate of 60-70% for sustained efforts, they would need to be at 126-154 lbs for a sustainable carry. While 210 lbs exceeds this, it doesn't account for adrenaline or potentially lifting Student B temporarily before relocating.
**Team Impossible: Argument Against Carrying Student B is Unrealistic**
1. **Maximum Capacity Limitations**: The fact that Student A can "lift" 220 lbs does not mean they can transport that weight over any distance effectively. Lifting once and carrying constantly differ significantly in terms of energy expenditure.
2. **Sustainable Weight Ratios**: As indicated in the estimate, the sustainable weight Student A could carry is significantly lower (60-70% of their max lift strength). Thus, at 60% of 220 lbs, that would mean they should ideally carry no more than about 132 lbs, way below 210 lbs.
3. **Fatigue and Endurance**: Even if Student A could lift Student B initially, carrying 210 lbs for 50 feet will lead to fatigue very quickly. Human endurance is not merely about one-time lifts; it also involves muscular endurance, making continual movement with a heavy load drastically more difficult.
4. **Physical Mechanics**: The biomechanics of carrying someone who weighs nearly as much as you can lead to balance issues and injury risks. Student A being 6’0” might not have the right leverage compared to a 6’2" Student B, leading to inefficient carrying techniques.
5. **Real-World Examples**: In typical emergency scenarios, individuals of similar weights report difficulties carrying even a few pounds less than their max capacity for even short distances due to fatigue and muscle failure.
### Conclusion:
Given the points and estimates discussed, it is evident that, while there may be a heroic effort that might earn a brief lift, it is highly unrealistic for Student A to carry Student B a distance of 50 feet effectively, thus making Team Impossible's argument stronger. The discrepancy between lifting capacity and endurance carrying should not be underestimated, and human factors like fatigue play a big role in the practicality of such a task.