奥数题（Mathematical Olympiad）.doc

奥数题（Mathematical Olympiad） 1, a, B, two cars at the same time from the East and west sides out, a car 56 kilometers per hour, B car 48 kilometers per hour, two cars at 32 kilometers from the midpoint of the meeting, seeking the distance between East and West is how many kilometers? 2, a, B, two vehicles at the same time from east station to West station. A car per hour than B car 12 km, a car driving 4.5 hours to arrive at the station, did not stay, immediately return to the same way, meet at a distance of 31.5 kilometers west and B car, a car how many kilometers per hour? 3, two people riding a bicycle ride along the circular runway 900 meters long, they reverse from the same location and then, after 18 minutes after an encounter, if they are the same direction, then after 180 minutes to catch a train express, for two people riding a bicycle speed? 4, brother and sister at the same time two people leave home to go to school. The elder brother walks 90 meters every minute, the younger sister walks 60 meters every minute, when the elder brother arrives at the school gate, discover to forget to take the text book, immediately go home along the original road to take, go to school to leave school, 180 meters meet with the younger sister. How far is it from school to their home? A car body is 15 meters, 5 buses on the road, traveling from east to west, the speed of 18 kilometers per hour, a, B two young people are long-distance train the road side of the sidewalk, a run from east to west, B runs from west to east. At one point, the car caught up with a car, and after 6 seconds the car left. A half minute later, the car ran into a running second. Another 2 seconds later, the car left. Ask how many seconds later, a and B two people meet? 6, a and B both about 360 km, passenger cars and trucks and starting from one place to another. The vehicle speed of 60 kilometers per hour, the bus 40 kilometers per hour, the vehicle arrived at B for 0.5 hours, and a return to the origin