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Some units travel faster than others overland. A mixed group of units or ships travels at the speed of the slowest member. Gyrocopters are the fastest unit.

Ships have different speeds, too. Warships are slower than Cargo Ships.

Formulas

Basic

{ \frac{ 1,200 }{ \mbox{ ship speed } } \cdot \sqrt{ ( x_2 - x_1 ) ^ 2 + ( y_2 - y_1 ) ^ 2 } }
Notes:
  1. This formula is what is best use when you 1st start the game and do not have any researches discovered that can increase your travel speed.
  2. The result value is in minutes and the seconds part is always rounded up to the nearest whole number integer.

Cargo Ships

The speed of a Cargo Ship is 60, so this simplifies to:

{ 20 \cdot \sqrt{ ( x_1 - x_2 ) ^ 2 + ( y_1 - y_2 ) ^ 2 } }
Example
  1. If your Cargo Ship is going from 30:30 (x1:y1) to 31:30 (x2:y2) (Straight line)
    { 20 \cdot \sqrt{ ( 30 - 30 ) ^ 2 + ( 31 - 30 ) ^ 2 } ) }   =   { 20 \cdot ( 1.0 ) }   =    20 minutes .
  2. If your Cargo Ship is going from 30:30 (x1:y1) to 31:31 (x2:y2) (Diagonal)
    { 20 \cdot \sqrt{ ( 31 - 30 ) ^ 2 + ( 31 - 30 ) ^ 2 } }   =   { 20 \cdot \sqrt{ 2 } }   =   { 20 \cdot 1.41 }   =   28.28 min ≈ 28 minutes 17 seconds.
Note:
A distance of zero, the towns are on the same island, is treated as a distance of { 0.5 \cdot 20 }   =    10 minutes .

Advanced

{ \frac { Distance \ast 72,000 } { ( UnitSpeed + \left [ UnitSpeed \ast SeaMapArchiveLevel ~ ( for ~ ships ~ only ) \right] \ast Gov% ) \ast ( 1 + ( Poseidon% + Draft% ) + TritonLevel ) } }
Distance
The number if Island spaces you will be traveling.
UnitSpeed
See the individual units / ships to get their speed, indicated by this icon (  Unit speed ).
SeaMapArchiveLevel
Can be [0 through #.#] for [Levels 0 through 40].
Gov%
The government form Oligarchy can increase your speed by 10% or 1.10, otherwise, the speed will be the normal speed or 1.0.
Poseidon%
Can be [0.0, 0.10, 0.30, 0.50, 0.70, 1.0] for level [0, 1, 2, 3, 4, 5].
Draft%
Can be [66.4%, 49.8%, 33.2%, 16.6%, 0%] based on the amount of cargo per merchant ship [100, 200, 300, 400, 500].
TritonLevel
Can be [0, 1, 2, 3] for [+0%, +100%, +200%, +300%].
Notes:
  1. This is the more accurate formula to use after you have learned the researches that will increase your travel speed.
  2. The result value is in seconds and is always rounded up to the nearest whole number integer.

Time to reach a city on the same island

 Time small in minutes Unit
7.5 Gyrocopter
10 Doctor
Archer
Hoplite
Slinger
Spearman
Sulphur Carabineer
Swordsman
15 Catapult
Cook
Mortar
Ram
Steam Giant
30 Balloon-Bombardier
 Time small in minutes Unit

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