You're in a car going 100KPH and your destination is 100KM away, but every KM you travel, you slow down by 1KM, so at 99KM to go, you slow down to 99KPH and so on.
How long does it take to reach your destination?
>>9137911
about 5
>>9137912
Close enough to answer the question, not close enough for copying homework. This is a good answer.
>>9137911
That is [math]\sum_{i=1}^{100} 1/i[/math] hours. According to wolfram, that's [math]\frac{14466636279520351160221518043104131447711}{2788815009188499086581352357412492142272}[/math] hours, or about 5 hours, 11 minutes, and 14 seconds.
>>9137918
it's not homework, i thought of it when I was driving today, and I thought it was an interesting question but I suck at math.
explain your answer so I can learn something
>>9137924
And this is the bad answer.
>>9137925
>explain your answer so I can learn something
Okay!
During the first kilometer, you are driving 100 km/h. That means it takes you 1/100 hours to travel that kilometer.
During the second kilometer, you are driving 99 km/h, meaning it takes you 1/99 hours for the second kilometer.
The last kilometer at 1 km/h takes you one hour, of course.
Completing the pattern gives you 1/100 + 1/99 + 1/98 + ... + 1/3 + 1/2 + 1/1 hours, or [math]\sum_{i=1}^{100} 1/i[/math] in mathematical notation. Which you can compute to a specific number.
>>9137911
100 kilomeaters
>>9137911
Sorry bro I'm not a communist I only read imperial units
What happenes if the decrease in speed is a continous function?
Id est for example, if the decrease from 100kmh to 99kmh is parametrized to a first order polynomial?
>>9138496
Then the problem involved an integral sign instead of a capital sigma.