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5P

Expert-verifiedFound in: Page 8

Book edition
10th Edition

Author(s)
David Halliday

Pages
1328 pages

ISBN
9781118230718

**Question: Horses are to race over a certain English meadow for a distance of ****. What is the race distance in (a) rods and (b) chains? ( 1 furlong = 201.168m, 1 rod = 5.0292 m and 1 chain =20.117 m)**

**Answer**

** **

- The race distance is 160 rods.
- The race distance is 40 chains.

Race distance is 4.0 furlongs.

The conversion factors given in the problems are listed below:

1 furlong = 201.168m,

1 rod = 5.0292 m

1 chain =20.117 m

**Unit conversion is the conversion between different units of measure for the same quantity, usually through multiplier conversion factors. **Here, furlong, rod, meter, and chain are the different units for the quantity length.

Using the above conversion factors, the race distance in rods can be written as,

$\text{Rice distance =4.0 furlongs\xd7}\left(\frac{201.168m}{1furlong}\right)\text{\xd7}\left(\frac{1rod}{5.0292m}\right)\phantom{\rule{0ex}{0ex}}\text{= 160 rod}$

Thus, the race distance is 160 rod.

** **

Using the above conversion factors, the race distance in chains can be written as,

$\text{Rice distance =4.0 furlongs\xd7}\left(\frac{201.168m}{1furlong}\right)\text{\xd7}\left(\frac{1chain}{20.117m}\right)\phantom{\rule{0ex}{0ex}}\text{= 39.999 chains}\phantom{\rule{0ex}{0ex}}\approx 40chains$

Thus, the race distance is 40 chains.

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