Identify Given Values

Identify the two speeds for the equal distance commute.

$v_{1} = 104 km/h, v_{2} = 125 km/h$

Apply Average Speed Formula

Since the distance is the same for both journeys, use the Harmonic Mean formula.

$\text{Average}\,\text{Speed} = \frac{2 \times 104 \times 125}{104 + 125}$

Calculate Denominator

Sum the two given speeds.

$104 + 125 = 229$

Calculate Numerator

Multiply 2 by the two speeds.

$2 \times 104 \times 125 = 26000$

Final Division

Divide the numerator by the denominator and round to two decimal places.

$\text{Average}\,\text{Speed} = \frac{26000}{229} \approx 113.5371... \approx 113.54 km/h$