### Introducing Calculus

Food for thought

We are still along the same stretch of road, with a speed limit of $\quantity{50}{mph}$, and the average speed cameras set at $\quantity{4}{miles}$ apart. In this instance our first driver spends the same amount of time driving at $\quantity{46}{mph}$ as he does at $\quantity{62}{mph}$. Our second driver drives the first half of the distance at $\quantity{46}{mph}$ and the second half at $\quantity{62}{mph}$.
• What happens if the speed cameras are $\quantity{10}{miles}$ apart instead? What changes?