All Fermi answers
Fermi #50 · Question 1

How many marathons would it take to run the length of the Great Wall of China?

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

1QUESTION 1 OF 3

Answer & explanation

Counting every dynasty's wall added together, not just the Ming.

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

Answer & explanation

Official answer

502

marathons

How to estimate it

Fermi’s official “Napkin math”

The wall runs from the sea near Beijing out into the desert, about half of China's 5,000 kilometers. It climbs mountains and branches off, so call one wall three times that. And several dynasties built their own. How many? Call it three.

Sea to desert, half of China
≈ 2,500 km
Winds and branches
× 3
Several dynasties' walls
× 3
22,500 ÷ 42 km
≈ 540 marathons

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

Source calculation & reference
Great Wall length, all dynasties combined (2012 government survey)
21,196 km
Length of one marathon
÷ 42.195 km
21,196 ÷ 42.195
≈ 502 marathons

Reference cited by Fermi: China's State Administration of Cultural Heritage, 2012 national Great Wall survey

How close was your guess?

Your comparison will appear here.

Compare by ratio: divide the larger number by the smaller one. The closer to 1×, the better.

Skip to main content