Reasoning

Average Speed for Equal Distances

Calculate average speed over two equal distances.

Average Speed = 2uv / (u + v)

Formula Explanation

For equal distances travelled at speeds u and v, average speed is their harmonic mean.

Variables Explained

u and v = Speeds over the two equal distances.

Solved Example

A vehicle travels equal distances at 30 km/h and 60 km/h.
Average speed = 2×30×60 / (30+60) = 40 km/h.

Exam Tip

Do not use the arithmetic mean for equal-distance journeys.