# How many miles will a person run during a 10 kilometer race?

Asked by mathneedshelp (4) October 4th, 2018

Use dimensional analysis.

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What kind of mile? There are many.

ragingloli (44277)

5917.15976331 Miles’

rebbel (28493)

6.2

ucme (46552)

What planet? On earth the answer would be one thing. On Zorgon, quite another. Zorgonians have miles that are the equivalent of 21.05 earth inches.

elbanditoroso (25160)

5.4 nautical miles.

Your “use dimensional analysis” is a redundant instruction.

zenvelo (33078)

You don’t need to use dimensional analysis as I understand the term. It’s a straight conversion. Ten kilometers is 6.2 miles as @ucme has said.

janbb (54187)

Depends on how much he was able to complete..)

imrainmaker (8339)

https://www.chem.tamu.edu/class/fyp/mathrev/mr-da.html

https://en.wikipedia.org/wiki/Inch

1 inch is exactly 2.54 cm and dimensional analysis implies calculation from first principles.

10k = 10,000m x (100 / 2.54 ) inches = 393,700.787402 inches

393,700.787402 inches / (12×5280) = 6.21371192237 miles

The question requires the student to calculate the answer without a calculator.

Pinguidchance (3135)

When you run, as I do, km/mi conversion is second nature…strava is my friend.
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ucme (46552)
Response moderated (Spam)

or