Question 282321
<pre>
                 SPEED        TIME         DISTANCE

JOGGER          4.5            t            4.5t

CYCLIST         14           t-1          14(t-1)
</pre>
{{{4.5t=14t-14}}}


{{{14t-4.5t=14}}}

{{{9.5t=14}}}

{{{t=14/9.5}}}

{{{t=1.4737}}}
1 hour 28 minutes


The cyclist needed 28 minutes (and a few more seconds) to catchup.