Question 1190897
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Sam jogged to Larry's house at 8 miles per hour and borrowed Larry's scooter, 
riding back at 20 miles per hour. If the round trip took 7 hours, how far 
is it to Larry's house? Write a distance equation
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<pre>
Let t be the time moving at 8 miles per hour.

Then the time moving back at 20 mph is 7-t hours.


The distance equation is

    8t = 20*(7-t).


Simplify and find t

    8t = 140 - 20t

    8t + 20t = 140

       28t   = 140

         t   = 140/28 = 5 hours.


The Larry's house is  8*5 = 40 miles apart.      <U>ANSWER</U>
</pre>

Solved.


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For simple Travel & Distance problems, &nbsp;see introductory lessons 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems.lesson>Travel and Distance problems</A>  

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems-for-two-bodies-moving-toward-each-other.lesson>Travel and Distance problems for two bodies moving in opposite directions</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Typical-catching-up-Travel-and-Distance-problems.lesson>Travel and Distance problems for two bodies moving in the same direction (catching up)</A>

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