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Math Explains Why Slow Cars Catch Up
1 Apr
Summary
- Researcher used math to explain why slow cars catch up at red lights.
- The phenomenon is named 'The Voorhees law of traffic' by Dr. Boland.
- Memorable encounters, not inevitability, explain the perceived pattern.

Dr. Conor Boland from Dublin City University has developed mathematical models to explain why motorists often experience slower cars catching up at traffic lights. His work, termed 'The Voorhees law of traffic,' analyzes how car spacing is affected by traffic light cycles, durations, and initial speed differences.
Boland's findings, published in Royal Society Open Science, indicate that the perceived inevitability of being caught by a slower car is largely due to psychological factors. These recurrent encounters are more memorable, particularly after an attempted overtaking maneuver. The mathematical average suggests that the lead one car has over another often remains unchanged after a single light.
However, the situation shifts in urban environments with multiple traffic lights. In such scenarios, the probability of the slower car catching up at least once becomes statistically near-certain. This has implications for road safety, suggesting that speeding to overtake may not yield a consistent advantage. While assumptions are made, the model offers a useful explanation for this common driving phenomenon.