Question

Пассажирский поезд за 4 часа прошёл такое же расстояние,какое товарный за 6 часов.Найдите скорость пассажирского поезда,если известно,что скорость товарного на 20 км\ч меньше.

Answer 1

Скорость пассажирского поезда  х   ⇒
Скорость товарного поезда  х-20
4*х=6*(х-20)
4x=6x-120
2x=120
x=60
Ответ: скорость пассажирского поезда 60 км/ч.

Answer 2

Calculating the Speed of the Passenger Train

To find the speed of the passenger train, we can use the given information that the passenger train covers the same distance in 4 hours as the freight train does in 6 hours. Additionally, we know that the freight train's speed is 20 km/h less than the passenger train's speed.

Let's denote the speed of the passenger train as v km/h and the speed of the freight train as v - 20 km/h.

Using the Given Information to Set Up the Equation

The formula to calculate the distance covered is speed × time. We can set up the equation based on the given information.

The distance covered by the passenger train in 4 hours is equal to the distance covered by the freight train in 6 hours.

For the passenger train: Distance = Speed × Time Distance = v × 4 km

For the freight train: Distance = Speed × Time Distance = (v - 20) × 6 km

Setting Up the Equation

Equating the distances covered by both trains: v × 4 = (v - 20) × 6

Solving for the Speed of the Passenger Train

Let's solve the equation to find the speed of the passenger train.

v × 4 = (v - 20) × 6 4v = 6v - 120 120 = 6v - 4v 120 = 2v v = 60

Calculating the Speed

The speed of the passenger train is 60 km/h.

This calculation is based on the given information and the equation derived from it.