All Fermi answers
Fermi #28 · Question 1

How long would it take to swim across the English Channel at Michael Phelps' world record pace in the 200-meter freestyle?

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

5

hours

How to estimate it

Fermi’s official “Napkin math”

The Channel is about 34 kilometers at its narrowest. How fast does a world record swimmer move? A quick 100 meters takes about 50 seconds, which works out to 7 kilometers an hour.

Channel crossing
~34 km
Phelps' pace
~7 km/h
34 ÷ 7
≈ 4.9 hours

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

Source calculation & reference
Straight-line crossing, Shakespeare Beach to Cap Gris-Nez
21 miles (33.8 km)
Phelps' 200 m freestyle world record, Beijing 2008
1:42.96, or 1.94 m/s
33,800 m ÷ 1.94 m/s
≈ 17,400 seconds
≈
4.8 hours, rounded to 5

Reference cited by Fermi: Channel Swimming Association crossing distance · World Aquatics world record progression for the men's 200 m freestyle

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