A cyclist covers a distance of $2$ kilometers in a time that is $30$ seconds less than the standard time. Using the function $s\left(x\right)=\frac{7200}{120+x}$, that gives the cyclist's speed (in meters per second) as a function of $x$, where $x$ is the number of seconds more or less than the standard time for $2$ kilometers, calculate the cyclist's average speed.