Problem

Source: Belarusian National Olympiad 2023

Tags: algebra, physics



The driver starts driving every morning at the same time from office to the house of his boss, picks up the boss and then drives back to the office. He always drives with the same speed on the same road. Because the time of arrival of the car to the boss's house is predetermined, the boss always leaves the house on time, and thus the driver does not spend any time waiting for his boss. Once the driver started driving from the office $42$ minutes later, than usual. The boss saw that the car didn't come and started walking in the direction of office. When he met the car on the road, the driver picked him up and started driving back to the office. The speed of the boss is 20 times lower than the speed of the car, and the time usually spent on the route from office to the house is at least an hour. Determine did the car come earlier or later to the office and by how many minutes.