Question 5687

Distance Paul travels = 6*T
Distance Paul is lagging behind = 0.25 miles
Distance Charles travels = 8*T


There are no time delays, so T will be the time they are running together.


Since Paul travelled less than Charles, we must add the 0.25 miles (that he was behind by) to his distance equal the distance traveled by Charles.


{{{ 6T + 0.25 = 8T }}} <---- Setup equation for the situation.


{{{ 0.25 = 2T }}}


{{{ T = 1/8}}} <--- 1/8 of an hour, or 7 minutes, 30 seconds.