OverviewKnowledge & Logic › R132
Knowledge & Logic · blind round

R132 · Fermi estimate: a lifetime of drinking water

blind round 11/11 local models answered

Every answer below carries the name of the model that wrote it. Blind refers to the scoring: the review was done without knowing which model produced which answer — the published result names them.

Show task
Estimate how many liters of water an average adult drinks in an entire lifetime. Show your assumptions and the calculation in at most 6 short lines, then end with a single rounded number.

The answers

Local models (Brain cluster) — identical prompt, shuffled order (the sequence is not a ranking)
qwen3.5:9b
Assumptions: Daily intake $\approx$ 2.5 L/day; Lifespan $\approx$ 70 years.
Calculation: $2.5 \text{ L/day} \times 365 \text{ days/year} \times 70 \text{ years}$
Total Volume $\approx$ 63,875 liters

64,000
qwen3:14b
Assumptions: Average daily intake $\approx 2.5$ L; Lifespan $\approx 80$ years.
Calculation: $2.5 \text{ L/day} \times 365 \text{ days/year} \times 80 \text{ years}$
Total liters $= 73,900 \text{ liters}$.

74,000
llama3.1:8b
Assumptions:

* Average lifespan: 75 years
* Daily water intake: 2 liters (a moderate estimate)
* Assume no significant changes in daily water intake over a person's lifetime

Calculation:
75 years × 365 days/year = 27,375 days
27,375 days × 2 liters/day = 54,750 liters

Rounded estimate: **55,000 liters**
qwen3-coder:30b
Assumption: Average daily intake is 2.5 liters.
Assumption: Lifespan is 80 years.
Calculation: $2.5 \text{ L/day} \times 365 \text{ days}/\text{year} \times 80 \text{ years}$.

73,000
deepseek-r1:14b
To estimate the total liters of water an average adult drinks in a lifetime:

1. Assume daily drinking water intake is about 2 liters.
2. Average life expectancy is approximately 80 years.
3. Calculate days: 80 years × 365 = 29,200 days.
4. Multiply by daily intake: 2 L/day × 29,200 days ≈ 58,400 liters.

Answer:
\boxed{58,\!400}
mistral-small:24b
To estimate this, we'll assume:
- An average adult drinks about 2 liters of water per day.
- The average lifespan is 75 years.

Calculation:
1. Daily water intake: 2 liters/day
2. Annual water intake: 2 liters/day * 365 days/year = 730 liters/year
3. Lifetime water intake: 730 liters/year * 75 years = 54,750 liters

Rounded number:
55,000 liters
qwen3:8b
Assume 2 liters/day, 70-year lifespan, 365 days/year: 2 * 365 * 70 = 51,100 liters. Rounded to 51,000. **51,000** liters.
gemma4:26b
Daily intake: 2 liters
Lifespan: 80 years
2 * 365 * 80 = 58,400 liters

58,000
qwq:32b
Assumptions:  
- Average lifespan: 80 years.  
- Daily water intake: 2 liters (includes all beverages).  
- No leap years accounted; 365 days/year.  

Calculation:  
80 years × 365 days/year = 29,200 days.  
29,200 days × 2 L/day = 58,400 L.  

60,000 liters.
command-r:35b
Assumptions:
- An average adult consumes 2 liters of water daily.
- A year has approximately 365 days.
- Average lifespan of an adult is about 70 years. 

Calculation:
Daily intake x Days in a Year x Lifespan = Total Liters
2 L/day * 365 days/year * 70 years = 51,100 Liters

An average adult drinks approximately **51,000** liters of water in their lifetime.
deepseek-r1:32b
To estimate how many liters of water an average adult drinks in a lifetime:

1. **Daily Water Intake**: Assume an average adult drinks **2 liters per day**.

2. **Annual Consumption**: 
   \[
   2\ \text{liters/day} \times 365\ \text{days/year} = 730\ \text{liters/year}
   \]

3. **Average Lifespan**: Assume an average lifespan of **80 years**.

4. **Lifetime Consumption**:
   \[
   730\ \text{liters/year} \times 80\ \text{years} = 58,\!400\ \text{liters}
   \]

5. **Rounded Figure**: Approximately **60,000 liters**.

\[\boxed{60,\!000}\]
Outside the Brain cluster — same task, same character budget, collected through their own tooling (response times not comparable)
Claude Opus 5frontier reference
Assumptions:
- Lifespan: ~80 years (global average is lower, but take a typical developed-country adult life).
- Drinking fluids only (water, coffee, tea, juice, etc.), not water contained in food.
- Childhood intake is lower, so use a blended lifetime average of ~2.0 L/day.

Calculation:
2.0 L/day x 365.25 days/year x 80 years = 58,440 L

~58,000 liters (roughly 60 cubic meters, about a quarter of an Olympic-pool lane's worth)
Claude Sonnet 5frontier reference
Assumptions: average lifespan ~80 years; average daily fluid intake (water, drinks, soups) ~2 liters/day; intake is roughly constant across life (lower as infant, slightly higher as adult, averages out).
Calculation: 2 L/day x 365 days/year = 730 L/year.
730 L/year x 80 years = 58,400 L.
Rounding for estimate uncertainty (climate, body size, diet vary intake 1.5-3L/day).

~58,000 liters
Claude Fable 5frontier reference
Assume average daily water intake (drinking water + beverages): ~2 L/day.
Assume adult drinking span: from age 0-ish averaged out, use full lifetime of ~80 years.
Days per year: 365.25 → 80 × 365.25 ≈ 29,220 days.
Total: 29,220 days × 2 L/day ≈ 58,440 L.
Rounding for uncertainty (intake varies 1.5–3 L/day):

60,000
Claude Haiku 4.5frontier reference
Assumptions:
- Average adult drinks 2.5 liters of water daily
- Adult lifespan: 18-75 years = 57 years of adult drinking
- Calculation: 2.5 L/day × 365 days/year × 57 years = 52,012.5 liters

52,000 liters
Reference
Gold — the correct answerreference
Größenordnung ~40.000–90.000 L (z.B. 2 L/Tag × 365 × 80 Jahre ≈ 58.000 L). Entscheidend: plausible Annahmen + sichtbare Rechnung + Endzahl.
Results at a glance— every model in this round with score, response time and status.

Who wrote what

ModelBlind scoreLatencyStatus
qwen3.5:9b 10.016.2 sOK
qwen3:14b 6.011.3 sOK
llama3.1:8b 10.0117.7 sOK
qwen3-coder:30b 10.010.0 sOK
deepseek-r1:14b 10.032.4 sOK
mistral-small:24b 10.0127.8 sOK
qwen3:8b 10.016.7 sOK
gemma4:26b 10.0164.1 sOK
qwq:32b 10.084.0 sOK
command-r:35b 10.073.7 sOK
deepseek-r1:32b 10.047.4 sOK
Verdict

10 of 11 answering local models matched the gold answer (blind score ≥ 8): gemma4:26b, mistral-small:24b, llama3.1:8b, qwen3-coder:30b, qwen3.5:9b, qwen3:8b, deepseek-r1:14b, deepseek-r1:32b, qwq:32b, command-r:35b.