Question 1144018
.
<pre>

Let x be the speed of the slower car, in kilometers per hour.

Then the speed of the faster car is (x+10) kilometers per hour.


In 5 hours, the slower car covers the distance of 5x kilometers, while the faster car covers the distance of 5*(x+10) kilometers.


The sum of the distances is 800 kilometers:


    5x + 5*(x+10) = 800.


It is your basic equation.

To solve it, simplify and solve for x.


    5x + 5x + 50 = 800

    10x = 800 - 50

    10x = 750

     x = {{{750/10}}} = 75.


<U>ANSWER</U>.  The slower car speed is  75 km/h.  The faster car speed is 75+10 = 85 km/h.


<U>CHECK</U>.   5*75 + 5*85 = 800 kilometers.    ! Correct !
</pre>

Solved.


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


See introductory lessons on Travel and Distance problems

&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>

in this site.


They are written specially for you.


You will find the solutions of many similar problems there.


Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.


Become an expert in this area.