posted by Brittney .
A motorist traveling 55 mph is being pursued by a highway patrol car traveling 65 mph. If the patrol car is four miles behind the motorist, how long will it take the patrol car to overtake the motorist?
From the moment the chase begins to the time it ends, let the time be t hrs
distance covered by motorist = 55t
distance covered by cop = 65t
65t - 55t = 4
10t = 4
t = 4/10 hours = 24 minutes