(a) A highway patrolman traveling at the speed limit is passed by a car going 15 mph faster than he is. After one minute, the patrolman speeds up to 100 mph. How long after speeding up until the patrolman catches up with the speeding car. The speed limit is 55 mph.

(b) Same question, but this time the patrolman speeds up to a speed of v mph (v>70). (a) A highway patrolman traveling at the speed limit is passed by a car going 15 mph faster than he is. After one minute, the patrolman speeds up to 100 mph. How long after speeding up until the patrolman catches up with the speeding car. The speed limit is 55 mph.

(b) Same question, but this time the patrolman speeds up to a speed of v mph (v>70).