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Mathematics teaching plan for the first day of junior high school.
1 1. It is known that a railway bridge is 1000 meters long and a train passes by. It takes 1 minute for the train to get on the bridge from the start point to the end point, and the whole train will get on the bridge completely for 40 seconds. What about the speed and length of the train?

Let the train speed be one meter per second and the car body length be b meters.

1 min =60 seconds

60a= 1000+b

40a= 1000-b

100a=2000

A = 20m m/s

b=60x20- 1000

B=200 meters

It is 200 meters long. The vehicle speed is 20m/s.

12, Party A and Party B run on the circular road at a constant speed, if they start at the same time. Walk in opposite directions and meet every 2 minutes; If you go in the same direction, meet every 6 minutes. It is known that A runs faster than B. How many laps do A and B run per minute?

Solution: Let A run X laps per minute and B run Y laps per minute. According to the meaning of the question in the equation:

2X+2Y= 1

6X-6Y= 1

X = 1/3 and Y = 1/6 are obtained.

A: A runs 1/3 laps per minute, and B runs 1/6 laps per minute.