A train leaves City A heading towards City B at a constant speed of 60 miles per hour. Two hours later, a car leaves City A heading towards City B at a speed of 80 miles per hour. If the distance between City A and City B is 400 miles, how long after the train leaves City A will the car catch up to the train? Also, calculate the total distance the car will have traveled by the time it catches up to the train. Let's think step by step and output the final answer within \boxed{}.
user