Enter the total distance and total ascent into the calculator to determine the estimated hiking time. This calculator can also evaluate any of the variables given the others are known.

Naismith’s Rule Formula

The following formula is used to calculate the estimated hiking time according to Naismith’s Rule. 

T = D + (A / 2000)

Variables:

  • T is the total estimated time for the hike (hours)
  • D is the total distance of the hike (miles)
  • A is the total ascent over the course of the hike (feet)

To calculate the estimated hiking time, add the total distance of the hike to the quotient of the total ascent and 2000. This will give you the total estimated time for the hike in hours, according to Naismith’s Rule.

What is a Naismith’s Rule?

Naismith’s Rule is a formula used to estimate the time required to hike a specific distance while accounting for the additional time needed to ascend any hills or mountains. It was developed by Scottish mountaineer William W. Naismith in 1892. The rule states that an average hiker covers approximately one mile in one hour, plus an additional hour for every 2,000 feet of ascent. This rule does not account for breaks, difficult terrain, fatigue, or individual fitness levels, so it should be used as a rough guide rather than a precise calculation.

How to Calculate Naismith’s Rule?

The following steps outline how to calculate the Naismith’s Rule.

  1. First, determine the total distance of the hike (D) in miles.
  2. Next, determine the total ascent over the course of the hike (A) in feet.
  3. Next, use the formula T = D + (A / 2000) to calculate the total estimated time for the hike (T) in hours.
  4. Finally, calculate the Naismith’s Rule.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

total distance of the hike (D) = 10 miles

total ascent over the course of the hike (A) = 3000 feet