Question 1096219
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<pre>
Let "x" be the speed of the fastest cyclist in miles per hour.

Then the speed of the slower cyclist is (x-4) miles per hour.


In 3 hour the fastest cyclist will cover 3x miles, while the slower will cover 3*(x-4) miles.


The sum of distances is 108 miles.  It gives you an equation

3x + 3*(x-4) = 108.


Simplify and solve for x:

3x + 3x - 12 = 108,

6x = 108 + 12  ====>  6x = 120  ====>  x = 20.


<U>Answer</U>.  The fastest cyclist speed is 20 mph.  The slower cyclist speed is 20-4 = 16 mph.
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For many other similar solved problems see the lessons

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

- <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> 

- <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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