Why does 5 mph slower feel like it adds a bunch of time but 5 mph faster doesn’t affect the eta much.

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Something that’s always bothered me about driving is I can drive 5 mph over and barely speed up the gps, however if I accidentally drive 5 under the speed limit, (My brand new truck doesn’t have a speeding) it will add a bunch of extra time. Is there an equation or something that shows you how fast you’d have to go to actually lower the time needed to arrive. Is it just a mental thing or is it math. Any and all information welcome!

In: Mathematics

6 Answers

Anonymous 0 Comments

Because speed and time to destination are not linearly correlated. Reducing your speed by a certain amount to travel a set distance will always increase the time taken by more than increasing your speed by that same amount would lower it.

Traveling to a place 5 miles away at 50 mph? It takes 6 minutes. At 55 mph, it takes 5 minutes and 37 seconds. At 45 mph, it takes 6 minutes and 40 seconds. Not a large difference, but you can see how it works.

For a more extreme example: imagine you are driving 5 mph, to a place 5 miles away. It takes you one hour to get there. Go 10 mph, and it takes you half an hour. Go 0 mph, and you *never arrive.*

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