Convert mile to pace

Learn how to convert 1 mile to pace step by step.

Calculation Breakdown

Set up the equation
$$1.0\left(mile\right)={\color{rgb(20,165,174)} x}\left(pace\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(meter\right)$$
$$\text{Left side: 1.0 } \left(mile\right) = {\color{rgb(89,182,91)} 1807.3116\left(meter\right)} = {\color{rgb(89,182,91)} 1807.3116\left(m\right)}$$
$$\text{Right side: 1.0 } \left(pace\right) = {\color{rgb(125,164,120)} 1.5\left(meter\right)} = {\color{rgb(125,164,120)} 1.5\left(m\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(mile\right)={\color{rgb(20,165,174)} x}\left(pace\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 1807.3116} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.5}} \times {\color{rgb(125,164,120)} \left(meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 1807.3116} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.5} \cdot {\color{rgb(125,164,120)} \left(m\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 1807.3116} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.5} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}$$
$$\text{Conversion Equation}$$
$$1807.3116 = {\color{rgb(20,165,174)} x} \times 1.5$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 1.5 = 1807.3116$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{1.5}\right)$$
$${\color{rgb(20,165,174)} x} \times 1.5 \times \dfrac{1.0}{1.5} = 1807.3116 \times \dfrac{1.0}{1.5}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.5}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.5}}} = 1807.3116 \times \dfrac{1.0}{1.5}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{1807.3116}{1.5}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 1204.8744\approx1.2049 \times 10^{3}$$
$$\text{Conversion Equation}$$
$$1.0\left(mile\right)\approx{\color{rgb(20,165,174)} 1.2049 \times 10^{3}}\left(pace\right)$$