Question 311899
If a car is traveling 25 miles an hour how far will it travel in 16 seconds.
<pre><b>
We will use these three unit multipliers:

{{{(5280feet)/(1mile)}}}, {{{(1hour)/(60minute)}}}, and {{{1minute/(60second)}}} 

{{{distance}}}{{{"="}}}{{{rate}}}{{{"×"}}}{{{time}}}{{{"="}}}

{{{(25mile)/(1hour)}}}{{{"×"}}}{{{16second}}}{{{"="}}}

{{{(25mile)/(1hour)}}}{{{"×"}}}{{{(16second)/1}}}{{{"="}}}

{{{(25mile)/(1hour)}}}{{{"×"}}}{{{(16second)/1}}}{{{"×"}}}{{{(5280feet)/(1mile)}}}{{{"×"}}}{{{(1hour)/(60minute)}}}{{{"×"}}}{{{(1minute)/(60second)}}}

Cancel the {{{mile}}}s:

{{{(25cross(mile))/(1hour)}}}{{{"×"}}}{{{(16second)/1}}}{{{"×"}}}{{{(5280feet)/(1cross(mile))}}}{{{"×"}}}{{{(1hour)/(60minute)}}}{{{"×"}}}{{{(1minute)/(60second)}}}

Cancel the {{{hour}}}s:

{{{(25cross(mile))/(1cross(hour))}}}{{{"×"}}}{{{(16second)/1}}}{{{"×"}}}{{{(5280feet)/(1cross(mile))}}}{{{"×"}}}{{{(1cross(hour))/(60minute)}}}{{{"×"}}}{{{(1minute)/(60second)}}}

Cancel the {{{second}}}s:

{{{(25cross(mile))/(1cross(hour))}}}{{{"×"}}}{{{(16cross(second))/1}}}{{{"×"}}}{{{(5280feet)/(1cross(mile))}}}{{{"×"}}}{{{(1cross(hour))/(60minute)}}}{{{"×"}}}{{{(1minute)/(60cross(second))}}}

Cancel the {{{minute}}}s:

{{{(25cross(mile))/(1cross(hour))}}}{{{"×"}}}{{{(16cross(second))/1}}}{{{"×"}}}{{{(5280feet)/(1cross(mile))}}}{{{"×"}}}{{{(1cross(hour))/(60cross(minute))}}}{{{"×"}}}{{{(1cross(minute))/(60cross(second))}}}

All that's left (eliminating the 1's)

{{{("25×16×5280")/("60×60")}}}{{{"feet"}}}{{{"="}}}

{{{586&2/3}}}{{{feet}}}

Edwin</pre>