Question 710506
If two people start travel at the same time going in the same direction,
the faster one will get ahead,
and the other will never catch up.
The slower person could catch up if the faster one stops or slows down.
 
The typical catch up problem involves the slower person/vehicle starting earlier, and the faster one starting later and catching up
{{{f}}} = speed of the fast one
{{{s}}} = speed of the slow one
{{{t}}} = time since the slow one started
{{{d}}} = delayed start time of the fast one
At any time after the fast one starts,
the slow one has covered a distance of {{{s*t}}},
while the fast one has been traveling for {{{t-d}}},
covering a distance of {{{(t-d)f}}}
When the fast one catches up, both have covered the same distance and
{{{(t-d)f=st}}}