Suppose a car is traveling down the highway at a constant rate of 60 miles per hour. It passes a police car at the side of the road. To catch up to the car, the police officer accelerates at a constant rate. The distance d (in miles) the police car has traveled as a function of time t (in hours) since the other car has passed it is given by d=360t^2. Write and solve a system of equations to calculate how long it takes the police car to catch up to the other car.​