A motorcycle patrolman is monitoring traffic from behind a billboard along a stretch of road where the speed limit is 96.0 km/hr. He clocks a motorist at 103 km/hr and decides to give chase and award the driver a speeding ticket. By the time he gets onto the highway and up to his chase speed of 144 km/hr, he is 350 m behind the speeder. Determine the amount of time it takes the patrolman to catch the speeder.