Spot speed of vehicles observed at a point on a highway are 40, 50 and 25 km/h. What will be the space mean speed of observed vehicles?
- A32 km/h
- B33 km/h
- C34 km/h
- D35 km/hCorrect
Solution
Concept
Space mean speed
Formula
vs = n / Σ(1/vi)
Step-by-step solution
1. 3/(1/40 + 1/50 + 1/25) = 35.3 km/h ≈ 35.
Explanation
It is the harmonic mean.
Why the other options are wrong
The arithmetic mean is 38.3.
Shortcut
Harmonic mean.
Correct answer: D) 35 km/h