This problem asks us to convert the strange speed units of **furlongs per fortnight** to **miles per hour**.

Whenever we convert units, the first step is to figure out what our starting and ending units are. We'll place the *starting units on the left*, an equals sign and *ending units on the right*, and some *conversion factors in the middle*:

$\left(\frac{{s}{t}{a}{r}{t}{i}{n}{g}{}{u}{n}{i}{t}}{{s}{t}{a}{r}{t}{i}{n}{g}{}{u}{n}{i}{t}}\right)\mathbf{\times}(conversionfactor)\mathbf{\times}(conversionfactor)\mathbf{=}\left(\frac{{e}{n}{d}{i}{n}{g}{}{u}{n}{i}{t}}{{e}{n}{d}{i}{n}{g}{}{u}{n}{i}{t}}\right)$

The conversion factors *must* *cancel out* the starting unit and *leave* the ending unit. So to cancel out the **starting unit** in the **numerator**, the first conversion factor must have that **same unit** in the **denominator**.

While driving in an exotic foreign land you see a speed limit sign on a highway that reads 1.81×10^{5} furlongs per fortnight.

How many miles per hour is this? (One furlong is 1/8 mile, and a fortnight is 14 days. A furlong originally referred to the length of a plowed furrow.)

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What scientific concept do you need to know in order to solve this problem?

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Based on our data, we think this problem is relevant for Professor Cook's class at ODU.