Question

Решите задачу масса одного рельса равна 32кг.сколько понадобится железнодорожных вагонов грузоподъёмностью 60т,чтобы перевезти все рельсы,необходимые для постройки одноколейной железной дороги длиной 180км?

Answer 1

180*2=360км=360 000м- длина всех рельсов (кладут с двух сторон)
360 000*32=11 520 000кг=11 520т- вес всех рельсов
11520:60=192в-понадобится вагонов

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of railway cars with a carrying capacity of 60 tons that are required to transport all the rails needed to build a single-track railway that is 180 km long. We are given that the mass of one rail is 32 kg.

Solution

To find the number of railway cars needed, we can follow these steps:

1. Convert the mass of one rail from kilograms to tons. 2. Calculate the total mass of all the rails needed for the railway. 3. Divide the total mass by the carrying capacity of each railway car to find the number of cars needed.

Let's calculate each step in detail.

Step 1: Convert the mass of one rail from kilograms to tons

The mass of one rail is given as 32 kg. To convert this to tons, we divide by 1000 since there are 1000 kilograms in one ton.

Mass of one rail in tons = 32 kg / 1000 = 0.032 tons.

Step 2: Calculate the total mass of all the rails needed for the railway

To calculate the total mass of all the rails needed, we need to multiply the mass of one rail by the total number of rails required. The total number of rails can be calculated by dividing the length of the railway by the length of one rail.

Given: - Length of the railway = 180 km - Length of one rail = unknown

To find the length of one rail, we need to convert the length of the railway from kilometers to meters and then divide it by the number of rails.

Length of one rail = Length of the railway / Number of rails

Since we don't know the number of rails yet, let's assume it as 'x' for now.

Length of one rail = 180 km / x

Now, we can substitute the length of one rail in the equation for the total mass of all the rails needed.

Total mass of all the rails = Mass of one rail * Number of rails

Substituting the values:

Total mass of all the rails = 0.032 tons * x

Step 3: Divide the total mass by the carrying capacity of each railway car

To find the number of railway cars needed, we divide the total mass of all the rails by the carrying capacity of each railway car.

Given: - Carrying capacity of each railway car = 60 tons

Number of railway cars needed = Total mass of all the rails / Carrying capacity of each railway car

Substituting the values:

Number of railway cars needed = (0.032 tons * x) / 60 tons

Now, we can solve this equation to find the value of 'x', which represents the number of rails needed.

Solving the equation

To solve the equation, we can cross-multiply and solve for 'x'.

0.032 tons * x = 60 tons * 180 km

Simplifying the equation:

0.032x = 60 * 180

0.032x = 10800

Dividing both sides of the equation by 0.032:

x = 10800 / 0.032

x ≈ 337,500

Therefore, the number of rails needed is approximately 337,500.

Conclusion

To transport all the rails needed to build a single-track railway that is 180 km long, it would require approximately 337,500 railway cars with a carrying capacity of 60 tons each.

Please note that this is an approximate value, and the actual number of railway cars needed may vary depending on factors such as the weight of other materials and the efficiency of loading and unloading processes.

Let me know if you need any further assistance!