MHB Cross-Border Conversions: Miles to Kilometers

  • Thread starter Thread starter avyunker
  • Start date Start date
avyunker
Messages
4
Reaction score
0
For the purposes of this problem we make the assumption that 5 miles is exactly 8 kilometers.

Two towns, Aville and Btown are situated in different countries and are connected by a road that is 150 miles long. The border is 25 miles from Btown. People of Aville use the metric system of kilometers, meters, etc. while those of Btown adhere to the English system of miles, feet, etc. People in both towns measure all distances relative to their own town. Thus the people of Aville declare that the border is 200 km "down the road" while those in Btown say that it is 25 miles "down the road". ("down the road" means toward the other town.

When an accident happens at a point 100 km down the road from Aville, the Btown newspaper will announce that it happened ? miles down the road.

More generally, x km down the road from Aville means ? miles down the road from Btown. If a rest area is to be built at a location 71 miles from Btown then it will be ? km from Aville.
 
Mathematics news on Phys.org
Set up a ratio of miles to km so that you can find the scaling factor.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Replies
2
Views
2K
Replies
1
Views
4K
Replies
19
Views
11K
Replies
10
Views
10K
Replies
29
Views
7K
Replies
6
Views
3K
Back
Top