1. From Central Square to the station, there is a straight street divided by 11 intersections into 12 equal blocks. At each intersection, there is a traffic light. All traffic lights simultaneously turn green for 3 minutes, then red for 1 minute. It takes the bus two minutes to travel one block (from intersection to intersection), while a car takes one minute to travel one block. The bus and the car start from the square at the same time, at which moment all traffic lights turn green. Which vehicle will arrive at the station first, and how many minutes earlier?
Solution. A car will travel three blocks without obstacles in the first three minutes. Upon approaching the intersection separating the third and fourth blocks, the car will stop at the traffic light for 1 minute. Thus, to travel three blocks and start moving on the fourth block, the car will need four minutes. The car's movement will then repeat, and it will leave the ninth block along with the intersection after 12 minutes. The next three blocks will be traveled in 3 minutes, and since there is no traffic light after the twelfth block, it will arrive at the station 15 minutes after leaving the square.

The bus will travel the first block, the first intersection, and the second block without stopping and will approach the second intersection at the moment when the red light changes to green. Therefore, at the beginning of the third block, the same situation will occur as at the beginning of the first block - the bus starts moving on the third block when the traffic light turns green. It will then pass all intersections without stopping at traffic lights again. The bus's travel time is 24 minutes.

Thus, the car will arrive 9 minutes earlier.

Answer. The car will arrive first, overtaking the bus by 9 minutes.