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

Say you are going 60 mph and travelling somewhere 60 miles away, it will take 1 hour.

If you are going 65 mph it will take 55.38 minutes.

If you are going 55 mph it will take 65.45 minutes.

So speeding up by 5mph saves you 3.62 minutes, but slowing down by 5 costs you 5.45 minutes.

Intuitively this makes sense if something takes an hour, if you go half the speed (50% slower) it will take twice as long in the example above two hours, but in order for you to save an hour you would need to arrive instantly (infinite mph). Idk beyond that it’s just how math works.

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