Question 987388
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Let &nbsp;<B>L</B>&nbsp; be the distance to the school (in miles). 


When you drive to school at the speed of &nbsp;45 mph, &nbsp;your speed is &nbsp;{{{45/60}}} &nbsp;miles per minutes, &nbsp;and you spend &nbsp;{{{L/((45/60))}}} &nbsp;minutes to get school.


When you drive to school at the speed of &nbsp;40 mph, &nbsp;your speed is &nbsp;{{{40/60}}} &nbsp;miles per minutes, &nbsp;and you spend &nbsp;{{{L/((40/60))}}} &nbsp;minutes to get school.

According to the condition,


{{{L/(40/60)}}}  - {{{L/(45/60)}}} = 2.


Solve it:


{{{(60*L)/40}}} - {{{(60*L)/45}}} = 2,


{{{(3L)/2}}} - {{{(4L)/3}}} = 2,


9L - 8L = 12,


L = 12 miles.


<B>Answer</B>. &nbsp;The distance from home to school is &nbsp;12 miles.