Cross-Border Conversions: Miles to Kilometers

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  • Thread starter avyunker
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In summary, for the purposes of this problem, we assume that 5 miles is equal to 8 kilometers. Two towns, Aville and Btown, are connected by a 150-mile road, with the border 25 miles from Btown. Aville uses kilometers and Btown uses miles to measure distance, with both towns measuring relative to their own town. An accident at a point 100 km from Aville would be announced as ? miles down the road from Btown. Similarly, a rest area 71 miles from Btown would be ? km from Aville. To find the scaling factor, a ratio of miles to km can be set up.
  • #1
avyunker
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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.
 
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  • #2
Set up a ratio of miles to km so that you can find the scaling factor.
 

FAQ: Cross-Border Conversions: Miles to Kilometers

What is the formula for converting miles to kilometers?

The formula for converting miles to kilometers is as follows: 1 mile = 1.609344 kilometers.

Why do we need to convert miles to kilometers?

Kilometers are a more commonly used unit of measurement in the scientific community and in many countries around the world. Converting from miles to kilometers allows for easier comparison and understanding of data across different regions.

Can you convert kilometers to miles using the same formula?

Yes, the conversion from kilometers to miles can be done using the same formula, but in reverse. It would be 1 kilometer = 0.621371 miles.

Are there any tools or resources available for easily converting miles to kilometers?

Yes, there are many online conversion calculators and apps that can quickly convert miles to kilometers. Additionally, most scientific calculators have a conversion function built-in.

Is there any room for error when converting miles to kilometers?

Yes, there is a small margin of error due to rounding and other factors. However, for most practical purposes, the converted value will be accurate enough to use in scientific calculations and everyday use.

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