Identify Formula

Since the distance traveled for both directions is identical (the distance between A and B), the average speed is the harmonic mean of the two speeds.

$V_{avg} = \frac{2 \times v_{1} \times v_{2}}{v_{1} + v_{2}}$

Substitute Values

Substitute $v_1 = 37$ km/h and $v_2 = 77$ km/h into the formula. Note that the 530 km distance is not needed.

$V_{avg} = \frac{2 \times 37 \times 77}{37 + 77}$

Calculate Result

Simplify the denominator first: $37 + 77 = 114$. Then compute the numerator: $2 \times 37 \times 77 = 5698$. Dividing gives $5698 / 114$.

$V_{avg} = \frac{5698}{114} \approx 49.9824$

Rounding

Rounding the calculated value to two decimal places, we get 49.98 km/h.

$V_{avg} \approx 49.98 \text{ km/h}$