Question

Пасажиры поезда за 4 ч прошёл такое же расточние , какое товарнвй за 6 ч. Найдите скорость пасадирного поезд емли изаестно , что скорость товарного на 20 км.ч меньше

Answer 1

4×х=6×(х-20)
2х=120
х=60

Answer 2

Calculating Train Speeds

To find the speed of the passenger train, we can use the formula: Speed = Distance / Time

Given that the passengers' train traveled the same distance in 4 hours as the freight train did in 6 hours, and the freight train's speed is 20 km/h less than the passenger train's speed, we can set up the following equations:

Let's assume the speed of the passenger train is x km/h and the distance traveled by both trains is d km.

For the passenger train: Speed = x km/h Time = 4 hours Distance = d km

For the freight train: Speed = (x - 20) km/h (20 km/h less than the passenger train's speed) Time = 6 hours Distance = d km

Calculating the Speed of the Passenger Train

Using the formula Speed = Distance / Time, we can set up the following equations:

For the passenger train: x = d / 4

For the freight train: x - 20 = d / 6

Now, we can solve these equations to find the value of x.

Solving the Equations

We can solve the system of equations to find the value of x:

From the equation for the passenger train: x = d / 4

Substitute the value of x from the passenger train equation into the freight train equation: (d / 4) - 20 = d / 6

Solving for d: (d / 4) - 20 = d / 6 3d - 240 = 2d d = 240

Now that we have the value of d, we can find the speed of the passenger train:

x = d / 4 x = 240 / 4 x = 60

Conclusion

Therefore, the speed of the passenger train is 60 km/h.

This calculation is based on the assumption that the speed of the freight train is 20 km/h less than the speed of the passenger train, and both trains traveled the same distance in the given time frames.