Question 1131606
.
<pre>
Let d be that distance.


Then you have this "time equation" from the condition


{{{d/4}}} - {{{d/5}}} = {{{1/2}}}  of an hour.


To solve it, multiply both sides by 20. You will get


5d - 4d = 10

d = 10.


<U>Answer</U>.  The distance between your house and office is 10 kilometers.
</pre>

Solved.


-----------------


If you want to see many other similar solved problems, look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Had-a-car-move-faster-it-would-arrive-quicker.lesson>Had a car move faster it would arrive sooner</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/How-far-do-you-live-from-school.lesson>How far do you live from school?</A> 

in this site.