Question 657354
After 10 minutes of traveling at 25 mph, the first car is {{{25 mph*10 minutes*(1 hour/60 minutes)}}} = {{{4&1/6}}} miles from the starting point.

The second car is traveling 10 mph faster than the first car, so we need to find out how long it will take the second car to make up the {{{4&1/6}}} distance at 10 mph.

From {{{speed = distance / time}}} we can derive {{{time = distance/speed}}}

Pluging in distance = {{{4&1/6}}} miles and speed = 10 mph gives us

{{{time = 4&1/6 miles / 10 mph}}} = {{{25/60}}} hours = 25 minutes.

The second car will catch up to the first car 25 minutes after the second car leaves the starting point, or 35 minutes after the first car leaves the starting point.