AllMyCalculators

Hiking Time Calculator (Naismith’s Rule)

Estimates a day in the hills from the distance and the climbing, the way hill walkers usually plan a route.

Naismith’s rule ignores it. Tobler’s function uses it.

minutes

Neither method includes any stops.

Naismith’s rule, moving time
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Naismith’s rule, with rest stops —
Tobler’s function, moving time —
Naismith’s rule in hours — h
Reading this —

The formula

Naismith: time = distance ÷ 5 km/h + ascent ÷ 600 m/h Tobler: speed = 6 × e^(−3.5 × |slope + 0.05|) km/h

Naismith’s rule dates from 1892 and allows an hour per 5 km, plus an hour per 600 m climbed. Tobler’s hiking function gives a speed for any slope, and is fastest on a slight downhill.

What to watch out for

Compare your own past walks with the result, then adjust.

Frequently Asked Questions

What is Naismith’s rule?

Allow one hour for every 5 km, plus one hour for every 600 m of ascent. A 12 km walk with 700 m of climbing comes to 3 h 34 min, before rests.

What does Tobler’s function say on the flat?

5.04 km/h. Its top speed, 6.0 km/h, is on a slight downhill of 5%.

Why does Naismith’s rule ignore descent?

It is a simple rule: going down is treated as taking about as long as the flat. Steep descents are slower than that, which is one place the two methods differ.