The distance between Xiaoming and Xiaogang's home is 900 meters. They both started from home at the same time. Five minutes later, they met. Xiaogang walks 80 meters every minute. How many meters does Xiaoming walk every minute?
3. Wang Qiang and Zhao Wen set out from two places 2280 meters apart, each branch of Wang Qiang is 60 meters, and each branch of Zhao Wen is 80 meters. Zhao Wen left three minutes later than Wang Qiang, and they met a few minutes later?
Two cars start from two places 360 kilometers apart and drive in opposite directions. Car A starts first, with a speed of 60 kilometers per hour. 1 hour later, car b started at a speed of 40 kilometers per hour. How many hours does the b bus meet?
The distance between the two villages is 35 kilometers. Party A and Party B set out from two villages and walked in opposite directions. Party A walks 5 kilometers per hour and Party B walks 4 kilometers per hour. After Party A starts 1 hour, Party B starts. How long did Party B walk when they were 9 kilometers apart?
6. Party A and Party B set out from two places 45 kilometers apart and walked towards each other at the same time. Party A drives more than Party B at a speed of 1 km/h, meet them five hours later and ask their speed.
7. Party A and Party B start from two places, with a distance of100km. Party A leaves 1 hour and meets in four hours. It is known that Party A travels 2 kilometers more than Party B per hour, so we can find out their speed.
8.AB is 900 meters apart. Party A and Party B start from point A at the same time and go in the same direction. Each branch of Party A is 70 meters, and each branch of Party B is 50 meters. After Party A arrives at Point A, Party A will meet Party B on the way back. How long did it take them to meet?
9. The distance between Party A and Party B is 640 kilometers. A bus and a truck start from the same place at the same time and drive in the same direction. Buses travel 46 kilometers per hour and trucks travel 34 kilometers per hour. After the bus arrives at B, it immediately returns to meet the truck on the way. How long did it take from departure to meeting?
* 10, A walks 70 meters per minute, B walks 60 meters per minute, C walks 50 meters per minute, A starts from A, B and C start from B at the same time, and the movement directions are opposite. A meets B 2 minutes later and meets C. Find the distance between AB and the other two places.
* 1 1, AB is 1 120km apart, and two trains, A and B, leave from two places at the same time, running in opposite directions. The speed of train A is 60 kilometers per hour, and that of train B is 48 kilometers per hour. When the B train started, a pigeon flew out of the train and flew to the A train at a speed of 80 kilometers per hour. How far is train B from land A when pigeons meet train A?
* 12, Party A and Party B run along the 400m circular track. They started from the same place at the same time and walked with their backs to each other. When they met for the first time, the speed of A was 2 m/s higher than before, and the speed of B was 2 m/s lower than before. As a result, both of them returned to their original places within 24 seconds. Find the original speed of a?
Solving application problem-tracing problem with column equation
1. My sister's walking speed is 75m/min, and my sister's is 45m/min. Twenty minutes after my sister set out, she set out to chase her. Q: How many minutes will it take to catch up?
2. A local train leaves from A at a speed of 60 kilometers per hour. After the local train 1 hour, the express train also leaves from A, with a speed of 90 kilometers per hour. How many hours can the express catch up with the local train?
And Xiao Wang set out on foot from Party A and Party B respectively. 1 hour 30 minutes later, Xiao Zhang walked more than half of the distance between Party A and Party B, 1.5km, and met Xiao Wang at this time. Xiao Wang's speed is 3.7 km/h, so what is Xiao Zhang's speed?
The distance between the enemy and our army is 25 kilometers, and the enemy runs away at a speed of 5 kilometers per hour. At the same time, our army pursued at a speed of 8 kilometers per hour and fought at a distance of 1 kilometer. How many hours did the battle last when the chase began?
The distance between 5.AB stations is 448 kilometers. The local train departs from the station at a speed of 60 kilometers per hour, and the express train also departs from the station at a speed of 80 kilometers per hour. How many hours does it take for an ordinary train to go to Mile Mile at the same time?
6. Party A and Party B practice robes on the 400-meter circular runway. They started at the same time. Party A's speed is 6 meters per second, and Party B's speed is 4 meters per second. How long will it take Party A to catch up with Party B?
7. Several students agreed to go to the zoo together. After meeting at school, some students walked at a speed of 5 kilometers per hour. After 0.5 hours, others go to school by bike. Twenty minutes later, they arrived at the zoo at the same time. What is the speed of students riding bicycles?
8. A city holds a bicycle race around the city, and the fastest person meets the slowest person within 35 minutes. The fastest man's speed is 7/5 of that of the slowest man. If it is 6 kilometers around the city, what are the speeds of the fastest and slowest people?
9. Father and son do morning exercises. It takes the father 30 minutes to run from home to the park, while the son only needs 20 minutes. If the father leaves five minutes earlier than the son, how many minutes does it take for the son to catch up with his father?
* 10 An army marched in a team of1.2km.. At the end of the line, Zhang Ming wants to contact the battalion commander at the front. He caught up with the battalion commander in six minutes. In order to get back to the end of the line, I waited 18 minutes where I caught up with the battalion commander. If he runs from the front to the finish line, how long will it take?
* 1 1, Xiaoming and Xiaogang are 28km apart. They agreed to meet and set off at the same time. Xiaoming is 8 kilometers per hour and Xiaogang is 6 kilometers per hour. Xiao Ming's father found that Xiao Ming forgot to bring something after 20 minutes of departure, so he chased Xiao Ming at the speed of 10km per hour. When Xiaogang and Xiaoming met, his father caught up with Xiaoming. How soon can it catch up with Xiaoming?
* 12, the first team advances at the speed of 7 kilometers per hour, and the correspondent at the end of the team rushes to the front of the team to deliver the letter at the speed of 1 1 km per hour, and returns to the end of the team immediately after delivering the letter. * * * It takes 13.2 minutes. How many kilometers is the length of the team? (Hint: Set the time to X)
Solving application problems with equations-crossing the bridge by mistake
1. For two oncoming trains, the speed of train A is 20 meters per second, and the speed of train B is 25 meters per second. If the length of train A is 200m and the length of train B is160m, how many seconds will it take for these two trains to miss each other?
2. A train is160m long, and it takes 30 seconds for the whole train to cross a 440m bridge. How many meters does this train travel per second?
3. A truck is 240 meters long and runs at the speed of 15 meters per second. The whole train continuously passes through tunnels and bridges, which takes 40 seconds, and the bridge is150m long. How long is this tunnel?
On the ascending and descending tracks, two trains face each other. One train is182m long and runs at the speed of18m per second, while the other train runs at the speed of17m per second. Time taken for two trains to cross the train by mistake 10 second. How long is the other train?
Fangfang walked along the railway at a speed of 60 meters per minute, and a 252-meter-long truck came from the opposite side. It took 12 seconds to get the speed of the train.
6. Party A and Party B walk on the railway at the speed of14m per second. It takes 8 seconds for a truck to pass by Party A, and 7 seconds for Party B to find the length of the truck body and the train speed.
7. Xiaogang is walking along the railway road next to the railway. His walking speed was 2m/s, when a train was approaching. It took him 18 seconds to get from the front to the rear. The total length of the known freight car is 342 meters. Find the speed of the train.
8. There is a road along the railway direction next to the railway line. It took a tractor driver on the road 15 seconds to see an oncoming train coming from behind him. It is known that the speed of the truck is 60 km/h and the total length is 345 meters, which is the speed of the tractor.
9. An express train and a local train are going in opposite directions. The length of the express train is 280 meters and the length of the local train is 385 meters. The time for people sitting on the express train to see the local train pass is 1 1 sec. How many seconds does it take a person sitting in the local train to see a car passing by?
10. There are two trains running in the same direction. The express train runs 30 meters per second and the local train runs 22 meters per second. If calculated from the front line of the train, the express train will overtake the local train in 24 seconds, and if calculated from the rear line, the express train will overtake the local train in 28 seconds. How long does the express train and the local train take?
Tap water problem
1. A passenger ship with a speed of 30 kilometers per hour is sailing in the river at a speed of 3 kilometers 165 kilometers. Q: How many hours does this passenger ship need to sail?
A ship is sailing between two ports in AB. It takes 3 hours to sail upstream and 2 hours to sail downstream. Suppose the current speed is 3 km/h, what is the speed of the ship in still water?
When the plane flies between two cities, it takes 256 hours to fly with the wind and 3 hours to fly against the wind. If the wind speed is 24 km/h, can you find the distance between the two cities?
4. An oil tanker, traveling against the current, with a speed of 12km, can reach Port B in 7 hours. It takes 6 hours to return from port B. What is the speed of the ship in still water and what is its current speed?
5. It takes 4 hours for a ship to sail from A to B, and it takes 40 minutes more to sail against the current than against it. The speed of the ship in still water is16 km/h. Find the current speed.
6. It takes 12.5 hours for a ship to sail at a speed of 20 kilometers per hour in still water and travel to and from two docks in the river with a water flow of 4 kilometers per hour. What's the distance between the two docks?
7. The speed of the ship in still water is 15km, and the speed of the river is 5 km/h.. It takes six hours for the ship to go back and forth between Port A and Port B. How many kilometers is the voyage between Port A and Port B?
Xiao Gang rowed upstream and accidentally dropped the kettle into the river. When he found it, he turned around. The kettle was 4 kilometers away from the ship, the speed of the ship was 4 kilometers per hour, and the water speed was 2 kilometers per hour. How long will it take him to catch up with the kettle?
9. The speedboat and the raft set off from Pier A at the same time, and the raft drifted down. It takes 14 hours for the speedboat to return to a place after 96 kilometers. If it is known that the speedboat meets the raft at a distance of 24 kilometers from the place A on the way back, find the speed and current speed of the speedboat in still water.
10, the velocities of A and B in still water are 24 km/h and 32 km/h respectively. The two ships set out from two ports 336 kilometers away from a river and headed for each other at the same time. How many hours did they meet? If we drive in the same direction, ship A is in front and ship B is behind. Ship b will catch up with ship a in a few hours.
1 1. A river has two piers, the upper pier and the lower pier, which are 45 kilometers apart. Every day, two passenger ships A and B with the same speed leave two docks at the same time and travel in opposite directions. One day, when ship A set out from the upstream pier, it dropped something, floated on the water and went downstream. Four minutes later, the distance from A ship 1 km ... It is expected that B ship will encounter this thing a few hours after departure.
12, a ship sailed downstream from port a to port b, and immediately returned to port a from port b after arriving at port b, which took 8 hours. As we all know, the ship travels 20 kilometers per hour more than in the current, and the ship travels 60 kilometers more than in the last four hours in the first four hours. How many kilometers is it between Port A and Port B?
Solving application problem-concentration problem with column equation
How many liters of water can be added to 8 liters of sugar water with concentrations of 1 and 15 kg to obtain saline water with concentration of 10%?
/kloc-How many kilograms of 30% sugar water does 0/20% sugar water add to get 20% sugar water?
There are 40 kilograms of salt water with 8% salt. How many kilograms of salt and water do you need to add to prepare 100 kg of salt water with a salt content of 20%?
There are 60 kilograms of 20% sugar water. How to get 40% sugar water?
5. There is 20g of salt water with a salt content of 15%. How many grams of salt is needed to make the concentration of brine reach 20%?
6. There are several kilograms of 45% alcohol, and then add 16 kilograms of alcohol with 10% concentration. After mixing, the concentration of alcohol solution is 25%. How many kilograms of alcohol are there now?
7.900 grams of salt water with a salt content of 6%, how many grams of salt should be added to increase its salt content to 10%?
8. Dilute 30 kg of 25% brine to 15% with water. How many kilograms of water do you need?
9. There is 2 10g salt water with a concentration of 2.5%. How many grams of water should be evaporated from it to make 3.5% salt water?
10, a bottle of 100g alcohol solution is diluted into a new solution with a concentration of 40% after adding 80g water. What is the concentration of the stock solution?
1 1, and the concentrations of a and b are 70% and 55% respectively. Now, how many grams should I take from these two kinds of alcohol to make 3000 grams of 65% alcohol?
* 12, the bottle contains1000g 12% alcohol solution. Now pour100g and 400g of A\B alcohol solution respectively, and the alcohol content in the bottle becomes 14%. It is known that the concentration of 3 alcohol solution in A is twice that of B alcohol solution, so find A..
Solving application problems-sales and savings problems with column equations
1. Dad saved Xiaoming's education savings for three years, with an interest rate of 2.7%. After three years, he can get 5405 yuan. How much money did he start saving?
3. Someone bought a company's 1 year bond for 25,000 yuan. After 1 year, after deducting 20% interest tax, he got 26,000 yuan of principal and interest. What is the annual interest rate of this bond?
4. If someone buys a 5-year Treasury bill of 9000 yuan and gets 12537 yuan at maturity, what is the annual interest rate of this Treasury bill?
When a commodity is sold at 80% price, it still gets 20% profit. What is the original expected profit value of the commodity?
6. A commodity is priced at 20% of the profit, and then sold at a 20% discount, resulting in a loss of 64 yuan. What is the cost of this commodity?
7. The 1200 exercise book with a cost of 0.25 yuan is sold at a profit price of 40%. When they are sold to 80%, the remaining exercise books are sold at a discount, and the scheduled profit is 86%. How much discount do you give when you sell the rest of your exercise books?
8. Xiaoming bought a pencil. The shopkeeper said, "If you buy more, I'll give you a 20% discount." Xiao Ming calculated that if you buy 50 pencils, it will be cheaper than the original price. 6 yuan, what is the original price of each pencil?
The water charge standard is not more than 20 tons, per ton 1.2 yuan, and more than 20 tons, per ton 1.5 yuan. The average water fee of a family is per ton 1.25 yuan, so how much should their water fee be?
10. A company borrowed 240,000 yuan from the bank at the beginning of the year to produce a product. It is known that the annual interest rate of the loan is 5%, the cost of each product is 7.2 yuan, and the price is 10 yuan, which is 10% of the sales at the time of tax payment. If the factory has just repaid the loan at the end of the year, how many products will it sell?
1 1, the cost of commodity A is 80% of the price, the price of commodity B is 275 yuan, and the cost is 220 yuan. Now 1 Piece A and 2 pieces B are sold together at 90% of the total price, so that each set can earn 80 yuan. What is the cost of commodity A?
Solving application problems with equations-chickens and rabbits in the same cage
1, chickens and rabbits in the same cage, *** 17 heads, 42 legs. Q: How many chickens and rabbits are there?
2. Xiaoming has 27 1 and 50-cent coins in his piggy bank, worth 1.5 yuan. Q: How many dimes are there and how many dimes are there?
3. The school bought four basketballs and five volleyballs, and one spent 185 yuan. A basketball is more expensive than a volleyball, 8 yuan. Q: What is the unit price of basketball?
4. Mother squirrel picks 20 pine nuts every day in sunny days and 12 in rainy days. It picks 1 12 a day, averaging 14. Q: How many days are rainy these days?
5. A pile of 2-cent and 5-cent coins ***299 cents, in which the number of 2-cent coins is four times that of 5-cent coins. Q: How many nickels are there?
6. Every school has 100 students taking part in the math contest, with an average score of 63, including 60 for boys and 70 for girls. Q: How many more boys are there than girls?
7. There is a truck carrying 2000 glass bottles, and the freight is calculated at 20 cents per bottle when it arrives. If damaged, a broken bottle costs 1 yuan. As a result, the freight was 379.6 yuan. Q: How many bottles were damaged in transit?
8, a math exam ***20 questions, do a right question 5 points, do a wrong question 1 points, no points. Xiaohua got 76 points in the exam. Q: How many questions did Xiaohua answer correctly?
9. In the shooting competition, Party A and Party B each fired 10 rounds. A scored 4 points on one stroke, and B scored 5 points on one stroke; If you miss, A will lose 2 points and B will lose 3 points. Finally, A is more than B. 10 Question: How many strokes did A win and how many strokes did B win?
10, a math contest was held in the sixth grade of Donghu Primary School, with ***20 questions. Get 5 points for answering a question correctly, and get 3 points for doing it wrong or not. Liu Gang got 60 points. Q: How many questions did he answer correctly?
1 1, chickens and rabbits live in the same cage, * * * has 100 feet. If the chicken is replaced by a rabbit and the rabbit is replaced by a chicken, * * * has 92 feet. Q: How many chickens and rabbits are there?
12. There is a pile of black and white debris, and the number of sunspots is twice that of Bai Zi. If you take out four sunspots and three Bai Zi pieces from this pile of pieces at the same time. Q: How many times did 1 white seeds and 18 black spots appear?
Solving application problem-solution ratio problem by using column equation
1. Prepare a pesticide, and the ratio of medicine to water is 1: 1000. There are 3.2 kilograms of water now. How many grams of water do I need?
2. On the map with the scale of 1: 400000, the distance between cities A and B is12.5cm. What is the actual distance between cities A and B? (Scale refers to the distance on the map: actual distance)
3. On the map with the scale of 1: 3000000, the total length of the Yangtze River is 2 1 cm. How many kilometers is the actual length of the Yangtze River?
4. On the precision part drawing with the scale of 10: 1, the measured length of part A is 45 mm..A What is the actual length of part A?
5.20 kg of wheat can grind out 17 kg of flour. According to this calculation, how many tons of wheat is needed to grind 1.7 tons of flour?
6. Li Tao reads a book, six pages a day, and can finish it in 30 days. If you read four more pages a day, how many days can you finish it?
7. What are the volumes of steel with a volume of 40 cubic decimeters and a weight of 3 12kg and 1248kg?
8. Move to a new house for decoration and sell floor tiles for the living room. A living room is paved with floor tiles, with an area of 1.5 square decimeter, and it needs 200 floors to be paved; How many pieces of land do you need to turn if you replace it with a floor tile with an area of 2 square decimeters?
9. The garment factory used to produce a 3.2-meter garment fabric. After improving the process, clothing cloth 150 sets were made before. How many sets can you make now?
10, two bottles of oil * * * weigh 2.7 kg. After pouring a quarter of the oil in the big bottle into the small bottle, the weight ratio of the oil in the big bottle to the oil in the small bottle is 3: 2. How many kilograms of oil is there in the big bottle?
1 1, a batch of parts 125 people 18 days can be processed. If the number of people increases by one fifth, how many days will it take to process these parts?
12. The weight ratio of coal stored in warehouses A and B is 8: 7. If a quarter of the coal stored in warehouse A is shipped out, warehouse B stores 6 tons of coal, and warehouse B stores more coal than warehouse A 14 tons ... How many tons of coal was originally stored in warehouse A?
Solving application problems with column equations
1, my mother brought some money to buy cloth, bought 2 meters of cloth, and left 1.80 yuan; Buy the same cloth for 4 meters, and the difference is 2.40 yuan. Q: How much money did Mom bring?
The number of workers in the first workshop is three times that in the second workshop. If 20 workers are transferred from the first workshop to the second workshop, the number of people in the two workshops is equal. How many workers were there in each of the first two workshops?
3. The two pools * * * store 40 tons of water, 4 tons are injected into Pool A, and 8 tons are discharged from Pool B. The tonnage of water in Pool A and Pool B is equal ... How many tons of water were originally stored in these two pools?
4. For two piles of coal, pile A has 4.5 tons, pile B has 6 tons, pile A uses 0.36 tons per day and pile B uses 0.5 1 ton per day. In a few days, the remaining tons of two piles of coal will be equal.
Xiaolong, Xiaohu, Xiao Fang and Xiao Yuan have 45 balls, but I don't know how many balls each person has. If we change, Xiaolong's ball is reduced by 2, Xiaohu's ball is increased by 2, Xiao Fang's ball is increased by 1 times, and Xiao Yuan's ball is reduced by half, then the number of balls for four people is the same. How many balls does everyone have?
6. A rectangular piece of land, with an aspect ratio of 5: 3, is 24 meters longer than its width. What is the area of this land?
A library has 630 original books on science and technology and literature, of which science and technology books account for 20%. Later, I bought some books on science and technology, accounting for 30% of the total. How many science and technology books did I buy?
8. Mother bought a basket of apples, which she is going to eat in a few days. If she eats four apples a day, she will have 48 more apples. If you eat six apples a day, you will lose eight apples. Q: How many apples did Mom buy back? How many days are you going to eat?
It is understood that basketball, football and volleyball are in 36 yuan on average. Basketball is more than volleyball 10 yuan, football is more than volleyball, 8 yuan. How much is each football?
10, a knowledge contest ***30 questions, get 4 points for answering one question correctly, and deduct 2 points for not answering or answering incorrectly.
(1) Xiao Ming got 36 points. He answered several questions correctly.
(2) Xiao Gang also took part in the competition. He said, "I will definitely get 100". Is he right? Please use the equation to explain.
1 1. A group of tourists need to pick up and drop off by car. There are two kinds of cars, one is A, and the other is B (just fully loaded), which requires five trips. If you use 5 A-class cars and 3 B-class cars (just fully loaded), you only need to run 4 times. What kind of car has many passengers?
1. The father is 40 years old and the son 13 years old. Is there a year when a father is four times as old as a son?
2. Wang Leyan went to the shoe store and bought a pair of shoes 188 yuan. This pair of shoes is sold at 20% below the marked price. What's the price tag?
3. Divide 100 into two parts, make the result of adding 3 to the first number equal to the result of subtracting 3 from the second number, and find these two numbers.
Grandpa and grandson play chess. Grandpa 1 won a set and grandson won a set with 3 points. After eight innings, their scores were even. How many sets did they win?
5, a piece of land, harvested 25% in the morning, harvested the remaining 20% in the afternoon, and there are still 6 hectares. How big is this land?
6. Car A travels from place A to place B at a speed of 60 kilometers per hour, and car B travels from place B to place A at a speed of 90 kilometers per hour. AB is known to be 200 kilometers apart. How far is the place where the two cars meet from A?
7. The tombstone of Diophantine, a Greek mathematician, records: "One sixth of his life was a happy childhood, then one twelfth of his life had a beard on his cheeks, and one seventh of him got married; In five years, he had a son, but his son only lived half his age; After his son died, he spent four years in jealousy and pain and died. "
(1) How old was he when he got married?
(2) How old was he when he died?
8. After Party A and Party B broke up, they walked in the opposite direction along the railway track. At this time, a train is coming to Party A at a constant speed, and it takes Party A 15 seconds; B It took 17 seconds to drive, and it is known that the walking speed of both of them is 3.6 km/h. What is the length of the train?
9. A bamboo pole and a rope. The rope is 0.5 meters longer than the bamboo pole. After the rope is folded in half, it is 0.5 meters shorter than the bamboo pole. How long are the bamboo poles and ropes?
10, the train passes through a 256m-long tunnel in 26 seconds, and 16 seconds passes through a 96m-long bridge. How long is the train?
* 1 1, divide 99 into four numbers, make the first number add 2, the second number subtract 2, the third number multiply 2, and the fourth number divide 2, and the results are all equal. How to divide it?