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Math travel problems in the sixth grade of primary school
1.A, B two cars start from east and west at the same time. Car A travels 56 kilometers per hour and car B travels 48 kilometers per hour. The two cars met at a distance of 32 kilometers from the midpoint. How many kilometers are there between things?

Idea: The two cars meet at a distance of 32 kilometers from the midpoint, which means the distance between the two cars is 64 kilometers. With the distance difference and speed difference, we can find the meeting time, which is 8 hours. Other calculations are simple.

2. Xiaoling walks 100 meters per minute, and Xiaoping walks 80 meters per minute. They walked from the school and the Children's Palace at the same time and met at the midpoint 120 meters. How far is it from the school to the Children's Palace?

3. A car and a motorcycle leave from Party A and Party B relatively simultaneously. Cars travel 40 kilograms per hour and motorcycles travel 65 kilometers per hour. When the motorcycle travels to the midpoint of the two places, it is 75 kilometers away from the car. How many kilometers is it between A and B?

Cars travel 60 kilometers per hour, 5 kilometers more than buses. At the same time, the two cars are driving in opposite directions from A and B, and meet at a distance of 20 kilometers from the midpoint to find the distance between A and B. ..

Exercise 2:

1. The express train and the local train leave from both parties at the same time. The express train runs 40 kilometers per hour. Three hours later, the express train has passed the midpoint of 25 kilometers. How many kilometers does the local train travel per hour?

Idea: First, calculate the express train for 3 hours 120km, and then subtract 25km, which is half the journey. At this time, the distance between the express train and the local train is 7km, so the local train travels 63km. So the speed of the local train is 21km/h.

The two brothers set out from school and home at the same time and walked in opposite directions. My brother walks 120 meters per minute. Five minutes later, my brother has passed the midpoint of 50 meters, and there is still a distance of 30 meters between the two brothers. How many meters does my brother walk every minute?

The car travels from a to b at a speed of 32 kilometers per hour. Four hours later, the remaining 8 kilometers is less than half of the whole journey. If the speed is 56 kilometers per hour, how many hours does it take to get to B?

4. The school brought a group of saplings and 40 students from 5 classes (1) to participate in tree planting activities. If each student plants 3 trees, the whole class can plant more than 20 such saplings. If these saplings are evenly distributed to the students in Class 5 (1), how many saplings will each person plant?

Exercise 3:

1. Party A and Party B ride bicycles from East Village to West Village at 8 am, and Party A is 6 kilometers faster than Party B every hour. At noon 12, a returns to the east village immediately after arriving in the west village, and meets b at a distance of 0/5 km from the west village/kloc-0. How many kilometers are the two villages apart?

Idea: Find the distance difference first, and we can find that the meeting time is 5 hours, so the speed of A is 15 ÷ (5-4) = 15 (km/h). The distance between the two villages is 15× 4 = 60 (km).

2. Party A and Party B go from place A to place B at the same time, with Party A walking 250 meters per minute and Party B walking 90 meters per minute. After arriving at B, A immediately returns to A and meets at a distance of 3.2 kilometers from B. How many kilometers is there between A and B?

Xiaoping and Xiaohong walk from school to Xiaoping's home at the same time. Xiaoping walks 20 meters more than Xiaohong every minute. After 30 minutes, Xiaoping arrived home. When he got home, he immediately returned along the original road and met Xiaohong 350 meters away from home. How many meters does Xiaohong walk every minute?

4. Party A and Party B arrive at 7: 00 a.m., and Party A is 8 kilometers faster than Party B every hour. 1 1 Arrive at B and return immediately. Meet at a distance of 24 kilometers from B. How many kilometers is it between A and B?

Exercise 4:

1.Students from Team A and Team B start from two places with a distance of 18km at the same time and go in opposite directions. A classmate rides a bicycle at a speed of 14 kilometers per hour, constantly shuttling back and forth between the two teams. Team A travels 5 kilometers per hour, while Team B travels 4 kilometers per hour. How many kilometers did the cyclist walk when the two teams met?

Idea: When two teams meet, how many kilometers do students ride bicycles? Just ask him the speed and time. The speed is known, and the time is when the two teams meet. Just find out the meeting time first.

The two teams met in two places 55 kilometers apart. Reporters rode horses at the speed of 16 km per hour to keep in touch between the two teams. It is known that one team travels 5 kilometers per hour and the other team travels 6 kilometers per hour. How many kilometers did the correspondent travel when the two teams met?

3. Party A and Party B start from two places at the same time, facing each other, with a distance of100km. A walks 6 kilometers per hour, B walks 4 kilometers per hour, A takes the dog and the dog walks 10 kilometers per hour. The dog starts from A, turns around and runs towards A when it meets B, and turns around and runs towards B when it meets A ... How many kilometers did the dog run until they met?

At the same time, two groups of students set out from Party A and Party B, which are 30 kilometers apart, and a pigeon kept sending letters back and forth between the two groups of students at the speed of 20 kilometers per hour. If pigeons fly 30 kilometers from their classmates' home to the meeting place, students in Team A walk 0.4 kilometers more than students in Team B every hour, so as to find the walking speed of the two teams.