A marathon is a road race covering 26 miles and 385 yards. There are 5280 feet in a mile, 3 feet...

Question:

A marathon is a road race covering 26 miles and 385 yards. There are 5280 feet in a mile, 3 feet in a yard and 3.3 feet in a meter. How many meters is this?

Unit Conversion

Unit conversion is the method to change the measuring unit from one scale to another scale depending on the particular case. There is a certain scale system in every unit system, which is equivalent to another scale with some multiplication factor.

Answer and Explanation:


Given Data

  • The distance is: {eq}d = 26\;{\rm{miles}} + 385\;{\rm{yards}} {/eq}


Convert the unit system according to the given information as,

$$\begin{align*} d &= 26\;{\rm{miles}} + 385\;{\rm{yards}}\\ d &= 26\;{\rm{miles}}\left( {\dfrac{{5280\;{\rm{ft}}}}{{1\;{\rm{mile}}}}} \right) + 385\;{\rm{yards}}\left( {\dfrac{{3\;{\rm{ft}}}}{{1\;{\rm{yard}}}}} \right)\\ d &= 138435\;{\rm{ft}}\left( {\dfrac{{1\;{\rm{m}}}}{{3.3\;{\rm{ft}}}}} \right)\\ d &= 41950\;{\rm{m}} \end{align*} $$


Thus, the total number of meter is {eq}\boxed{\color{blue}{41950\;{\rm{m}}}} {/eq}.


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Common Unit Conversions

from Business 110: Business Math

Chapter 1 / Lesson 10
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