Convert mile to pace

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

Calculation Breakdown

Set up the equation

1.0 (m i l e) = x (p a c e)

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (m i l e) = 1852.0 (m e t e r) = 1852.0 (m)

Right side: 1.0 (p a c e) = 1.524 (m e t e r) = 1.524 (m)

Insert known values into the conversion equation to determine

x

1.0 (m i l e) = x (p a c e)

Insert known values =>

1.0 \times 1852.0 \times (m e t e r) = x \times 1.524 \times (m e t e r)

Or

1.0 \cdot 1852.0 \cdot (m) = x \cdot 1.524 \cdot (m)

Cancel SI units

1.0 \times 1852.0 \cdot (m) = x \times 1.524 \times (m)

Conversion Equation

1852.0 = x \times 1.524

Switch sides

x \times 1.524 = 1852.0

Isolate

x

Multiply both sides by

(\frac{1.0}{1.524})

x \times 1.524 \times \frac{1.0}{1.524} = 1852.0 \times \frac{1.0}{1.524}

Cancel

x \times 1.524 \times \frac{1.0}{1.524} = 1852.0 \times \frac{1.0}{1.524}

Simplify

x = \frac{1852.0}{1.524}

Solve

x

x \approx 1215.2230971 \approx 1.2152 \times 10^{3}

Conversion Equation

1.0 (m i l e) \approx 1.2152 \times 10^{3} (p a c e)

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