Use this cartographic calculation to convert, scale, or compare map, terrain, bearing, raster, or route quantities when the coordinate and unit conventions are explicitly known.

Distance Kilometers (km)

Required number input.

Ascent Meters (m)

Required number input.

Walking time in hours using Naismith's rule: 5 km/h horizontal pace plus one hour per 600 m ascent. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Hours (h)

The resulting hours returned as a number.

• Map calculations depend on datum, projection, latitude, scale definition, magnetic-declination epoch, and whether distances are planar, rhumb-line, or geodesic. A compact formula cannot remove distortion or infer the missing reference system.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Confirm the map datum, projection, scale, and bearing convention before applying the result. Use geodesic or GIS software with current reference data when survey-grade or navigation-critical accuracy is required.

• Dot Density Dots Per Unit

  Count of map dots needed for a value when one dot represents a fixed number of units.

• Latitude Degree To Km Fixed

  Approximate north-south kilometres per latitude degree on a spherical Earth.

• Longitude Degree To Km Departure

  Approximate east-west kilometres per longitude degree at latitude on a spherical Earth.