Question 1024859
<pre>
                   rate             time          distance

JOGGER              6               t+1

CYCLIST            12                t

BOTH TOTAL                                         12
</pre>


The two meet when the sum of their distances traveled becomes 12 miles.



<pre>
                   rate             time          distance

JOGGER              6               t+1          6(t+1)

CYCLIST            12                t           12t

BOTH TOTAL                                         12
</pre>


{{{highlight(6(t+1)+12t=12)}}}
Solve for t, quantity in hours.
This t is the number of hours past 8:00AM when the jogger and the cyclist meet.




SOLUTION STEPS FOR THE EQUATION
{{{6t+6+12t=12}}}
{{{18t+6=12}}}
{{{18t=6}}}
{{{t=6/18}}}
{{{highlight(t=1/3)}}}, which is 20 minutes.


They meet at 9:20AM.