All Fermi answers
Fermi #38 · Question 1

How long would it take to fill an Olympic swimming pool with a backyard garden hose?

Explore the official answer and the simple reasoning behind this Fermi estimate.

1QUESTION 1 OF 3

Answer & explanation

The official answer, with Fermi’s reasoning step by step.

Answer & explanation

Official answer

46

days

How to estimate it

Fermi’s official “Napkin math”

An Olympic pool holds about 660,000 gallons. How fast does a garden hose run? It fills a 5 gallon bucket in well under a minute, so call it 10 gallons a minute, which is 600 an hour.

Pool volume
~660,000 gal
Hose flow
÷ 600 gal/hour
660,000 ÷ 600
≈ 1,100 hours
÷ 24
≈ 46 days

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
Olympic pool volume
≈ 660,000 gal (2,500,000 L)
Garden hose flow
÷ 10 gal/min
66,000 minutes
≈ 1,100 hours
÷ 24
≈ 46 days

Reference cited by Fermi: World Aquatics competition pool dimensions (50 × 25 × 2 m) · typical garden hose flow, 10 gal/min

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