Question 1011640
Work or task rates.
One job is "create the 30 lessons".


<pre>
Terry               1/(x-60)

Charles             1/x

Both at same time   1/300
</pre>


The alternative way is to take the equivalent, Charles needs 60 hours MORE than Terry, and form the rates this way:
<pre>
Terry               1/x

Charles             1/(x+60)

Both at same time   1/300
</pre>
Both together, their rates are......
{{{1/x+1/(x+60)=1/300}}}
.
.
{{{x^2-540x-18000=0}}}
.
.
{{{x=(540+- sqrt(101*100*36))/2}}}


{{{x=(540+- 60*sqrt(101))/2}}}


{{{x=270+- 30sqrt(101)}}}, but the MINUS form will not make sense.


{{{highlight(x=270+30sqrt(101))}}}