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If the distance that can be traveled by each wheel is considered "1", then 1 5000 is used for each kilometer of the front wheels and 1 3000 for each kilometer of the rear wheels per 1 kilometer, and since the front and rear tires can be exchanged at the appropriate time, the distance is the longest when they are scrapped at the same time.
The farthest is (1+1) (1 5000+1 3000) 3750 km.
Hope it helps!
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Solution: Suppose the total wear of each new tire when it is scrapped is k, then the tire installed on the front wheel wears K 5000 per 1km traveled, and the tire installed on the rear wheel wears K 3000 per 1km and a pair of new tires are exchanged before x km, and after the exchange position is taken y km
Taking the total wear of a tire as the equivalent off series of equations, there are kx 5000 + ky 3000 = k; ky/5000+kx/3000=k.
Add the two formulas to yield: k(x+y) 5000+k(x+y) 3000=2k, then x+y=2 (1 5000 + 1 3000)=3750 (km).
Therefore, the new tires of this car can travel up to 3750km
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The bicycle tire itself is a small section (compared with electric vehicles and motorcycles), but the relative load of the rear wheel is larger, and the wear and tear of the tire will be correspondingly larger, so the rear wheel will be scrapped earlier, and the tire is also a way to replace it, so that it can be scrapped for 5000 kilometers, and the front wheel will be used for a period of time!
The price of mid-range bicycle tires is generally 10-18 yuan, and the installation cost of labor is about 80-100% of the value of the tires, so it will not save money! It can effectively extend the service life of tires!
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4800 km. If the distance that can be traveled by each wheel is considered as "1", then 1 6000 is used for each kilometer of the front wheels and 1 4000 per kilometer of the rear wheels per 1 kilometer, and since the front and rear tires can be exchanged at the appropriate time, the distance is the longest when they are scrapped at the same time. The farthest is (1+1) (1 6000+1 4000) 4800 km.
Mathematical significance. The unit of the original quantity, (refers to the smaller amount that makes up the original quantity, such as a journey of 3 hours, the average distance traveled per hour is a unit of a distance.) Or units of numbers can be converted into smaller units than "1", so there is a definition of fractions: the unit one (or the whole "1") is divided into equal parts, indicating that one or more of them is a fraction.
You can redefine a quantity in units of "1" and represent it as a fraction. This fraction is also often referred to as the corresponding fraction of that other quantity.
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6000:4000=3:2
For each tire, the time ratio of driving in the front and rear positions is 2:3 for a pair of tires, and the maximum is feasible: 6000 * 2 (2 + 3) + 4000 * 3 (2 + 3) = 2400 + 2400 = 4800 km.
Alternatively, the least common multiple of 6000 and 4000 is 1200012000 6000=2
That is, get 2 + 3 = 5 tires, a total of 12,000 kilometers per 2 tires, the maximum is feasible: 12,000 5 2 = 4,800 kilometers.
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The front tire cannot be used for 6000km. The rear tires cannot be used after 4000 km. If the front and rear tires are reasonably exchanged during driving, try to meet the damage of the front and rear wheels at the same time, that is, the kilometers of the two tires in the front and rear positions are exactly one.
Bicycle is a traditional industry, with a history of more than 100 years, due to environmental protection and traffic problems, bicycles have once again become countries around the world, especially developed countries.
Residents' favorite transportation and fitness tools.
The center of gravity of the world's bicycle industry is shifting from traditional means of transportation.
In developed countries such as the United States, Europe, and Japan, bicycles are a more common sports, fitness, leisure and recreational product.
The world's first truly utilitarian bicycles appeared at the beginning of the 19th century. In 1817, the German Drèress invented the wooden two-wheeled bicycle with handlebars in Paris, France. After the invention of the bicycle, it quickly became the preferred mode of transportation for Europeans at that time.
In the 19th century, some Europeans also conceived some ideal Eudan's bicycle diagrams.
In the early days of the invention of the bicycle, it was believed that the bigger the wheel, the faster the speed, and two men rode a bicycle with wheels almost one person high.
In the invention stage of the bicycle, some people did not design the two wheels of the bicycle to be placed front and back, but made the two wheels to be placed left and right, and the shape of this bicycle is somewhat similar to that of a wheelchair.
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The front tire cannot be used after 6,000 km, and the rear tire cannot be used after 4,000 km.
The front wheel position wears 1 6000 per kilometer and the rear wheel position 1 4000 per kilometer.
If the front and rear tires are reasonably exchanged during driving, try to meet the damage of the front and rear wheels at the same time, that is, the kilometers of the two tires in the front and rear positions are exactly one.
Note: Although there are many types of vehicles, the structure is similar. This should be said to be the credit of standardization, but also the need for large-scale production lines.
With the development of society, the progress of science and technology and the change of demand, the appearance of railway vehicles has begun to change, especially the old faces of Lusan passenger cars. However, their basic structure has not changed significantly, but the specific parts have a more scientific and advanced structural design.
Generally speaking, the basic structure of the vehicle is composed of five parts: the car body, the undercarriage, the running part, the coupler buffer device and the braking device.
The body is the part of the vehicle that is used to load goods or passengers, and is the basis for the installation and connection of other components of the vehicle. The body of the early vehicles was mainly made of wood, supplemented by steel plates, bow rods, etc. In modern times, the car body is mainly steel structure or light metal structure.
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Solution: the front tire can not continue to be used when driving 6000km, the rear tire can not continue to be used when driving 4000km, the front wheel position wears 1 6000 per kilometer, and the rear wheel position wears 1 4000 per kilometer, if the front and rear tires are reasonably exchanged during driving, try to meet the front and rear wheels damaged at the same time, that is, the two tires are completely consistent with the number of kilometers of driving in the front and rear positions, (1 6000 + 1 4000) 2 = 1 4800, and the average wear rate of the two tires before and after the exchange is 1 4800, that is, a total of 4800 kilometers, two tires damaged at the same time, up to 4800 kilometers can be driven back to Wang.
So the answer is 4800
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Assuming that the total wear of each new tire at the end of scrap is k, then the wear of the tire installed on the front wheels is k per 1 km traveled
Tires mounted on the rear wheels wear K3000 per 1km traveled
Set up a pair of new tires to exchange positions before the xkm, after the exchange of positions to go YKM respectively, the total wear of a tire is the equivalent of the series of equations, there is KX5000
ky3000kky
kx3000 k, add the two formulas to get k(x+y).
k(x+y)
2k, then x+y 2
3750 (km).
Therefore, the new tires of this car can travel up to 3750km
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Solution: If the total wear of each new tire is k, then the tire installed on the front wheel wears 3000/K per 1km traveled, and the tire installed on the rear wheel wears 5000/K per 1km traveled.
Another pair of new tires went xkm before the swap position, and YKM after the swap position.
The total wear of a tire is taken as the equivalent off series of equations, and there are 3000/kx + 5000/ky=k
KY of 3000/3 + KX of 5000/K = K
Add the two formulas to get.
3000/k(x+y) + 5000/k(x+y) = 2k, then 5(x+y) + 3(x+y) = 30000
8(x+y)=30000
x+y=3750
y=3750-x, bring it into kx of 3000 + ky=k of 5000 to get x of 3000 + 5000 (3750-x) = 1 to get x = 1875
A: Change the tyres when driving 1875 km.
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The distance that can be traveled by each wheel roller is regarded as "1", so the front wheel uses 1 5000 per 1 kilometer of rows, and the rear wheel uses 1 3000 per 1 kilometer of each row, and because the front and rear Daxin tires can be exchanged at the appropriate time, the distance is the longest when scrapped at the same time.
The farthest auspicious game is (1+1) (1 5000+1 3000) 3750 km.
Have fun.
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