Question 1078376
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<pre>
Let "r" be the rate of the first cyclist, in mph.

Then the rate of the second cyclist is (r-10) mph.

The condition says:

{{{210/(r-10) - 210/r}}} = 2.4.


It is your "time equation" to solve for r.


To solve it, multiply oth sides by r*(r-10). You will get

210r - 210(r-10) = 2.4r*(r-10).


Simplify and solve this quadratic equation for "r". It is just arithmetic.


Good luck !
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If you are interested in learning Travel and Distance problems, there are a lot of solved problems for you in this site.


You can find them in this free of charge online textbook on ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;<A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The Travel and Distance problems are the part of this textbook under the section "<U>Word problems</U>", the topic "<U>Travel and Distance problems</U>".