Hike Duration Estimator (Naismith's rule)

Time = horizontal distance รท 5 km/h + 1 hr per 600 m ascent. With Tranter's fitness corrections.

Inputs

Map-projected distance on the trail. 1 mile = 1.609 km.

Sum of all UP-only elevation gain on the route. 1000 ft โ‰ˆ 305 m.

Sum of all DOWN-only elevation drop. For loops/out-and-back, often โ‰ˆ ascent.

Tranter's corrections (1949) refine Naismith for individual fitness โ€” measured by how long you take to do 2 miles + 500 ft ascent.

Lunch + photo stops + map checks. 30-60 min is typical for a half-day hike.

Result

Estimated hike time
3 hr 50 min
Moving 3.33 hr + 30 min breaks = 3.83 hr. Avg pace 3.00 km/h.
  • Distance10.00 km (6.22 mi)
  • Ascent600 m (1,969 ft)
  • Descent600 m (1,969 ft)
  • Naismith base time2.00 hr horiz + 1.00 hr ascent = 3.00 hr
  • Descent time penalty0.33 hr (1 hr per 1800 m descent)
  • Fitness multiplierร— 1.00 (naismith)
  • Moving time3.33 hr
  • Breaks30 min
  • TOTAL elapsed3 hr 50 min
  • Average moving pace3.00 km/h (1.86 mph)

Step-by-step

  1. Naismith base = (distance / 5 kmยทhโปยน) + (ascent / 600 mยทhโปยน) = 2.000 + 1.000 = 3.000 hr.
  2. Descent penalty (Aitken/Langmuir) = descent / 1800 = 0.333 hr.
  3. Apply fitness factor 1.00: moving time = (3.000 + 0.333) ร— 1.00 = 3.333 hr.
  4. Add 30 min breaks โ†’ total 3.833 hr = 3 hr 50 min.

How to use this calculator

  • Distance: trail-projected horizontal length (your map distance, not "as-the-crow-flies"). Convert miles โ†’ km by multiplying by 1.609.
  • Ascent / descent: read from a topo map, GPX file, or guidebook. AllTrails / Komoot / Strava export gives these directly.
  • Pick fitness honestly โ€” the difference between "good" and "fair" Tranter is 35% on long routes.
  • Add 30-60 min for breaks on day hikes; 60-90 min for half-day; 90+ min if you stop for photos.

About this calculator

Naismith's rule (William W. Naismith, 1892) is the workhorse hike-duration estimator used by Scottish mountain clubs, Britain's OS map system, and most hiking guidebooks: allow 1 hour per 5 km (3 mi) of horizontal distance plus 1 hour per 600 m (2,000 ft) of ascent. The base rule assumes reasonable fitness with a light pack on good ground. Tranter's corrections (Philip Tranter, 1949) extend it for individual fitness levels โ€” measured by how long you take to complete the standardised 2-mile-plus-500-ft test. Modern refinements (Aitken, Langmuir) add a small descent penalty (โ‰ˆ1 hr per 1800 m descent) โ€” descending is faster than ascending but slower than the flat. This calculator combines all three corrections plus a separate break-time line. Real-world calibration: most hikers find Naismith optimistic by 10-30% on rough terrain or with heavy packs; the Tranter "fair" and "poor" presets capture that drift.

Frequently asked

Empirical observation from late-1800s Scottish hill walking. 600 m of ascent at typical hiking grades (~15-20%) takes roughly the same time as 5 km of flat walking โ€” both equate to about 60 minutes of sustained effort. Marathon-pace running rules use a similar conversion: 100 m elevation โ‰ˆ 1 min added time per km on the flat.

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