Question

Пассажирский поезд за 4 часа прошел такое же расстояние,какое товарный за 6ч.Найдите скорость пассажирского поезда ,если известно, что скорость товарного на 20 км/ч меньше. Решение с краткой записью.

Answer 1

Возьмем пройденное расстояние пассажирского и товарного поезда за Хкм.
S(путь)=V(скорость)*t(время). Из этого следует V=S/t
Тогда скорость пассажирского будет равна х/4 км/ч, а товарного х/6 км/ч. Скорость товарного на 20 км/ч меньше. Составим и решим ур-ие:
1) х/4-х/6=20
(3х-2х)/12=20
х/12=20
х=20*12
х=240
2) 240/4=60(км/ч) - V пассажирского поезда;
Ответ: 60 км/ч. 

Answer 2

Problem Analysis

We are given that a passenger train traveled the same distance in 4 hours as a freight train did in 6 hours. We also know that the freight train's speed is 20 km/h less than the passenger train's speed. We need to find the speed of the passenger train.

Solution

Let's assume the speed of the passenger train is x km/h. Since the freight train's speed is 20 km/h less, its speed will be x - 20 km/h.

We can use the formula distance = speed × time to calculate the distance traveled by each train.

For the passenger train: - Speed: x km/h - Time: 4 hours - Distance: x × 4 km

For the freight train: - Speed: x - 20 km/h - Time: 6 hours - Distance: (x - 20) × 6 km

Since both trains traveled the same distance, we can set up the equation:

x × 4 = (x - 20) × 6

Now, let's solve this equation to find the value of x.

4x = 6(x - 20)

Simplifying the equation:

4x = 6x - 120

120 = 6x - 4x

120 = 2x

Dividing both sides by 2:

x = 60

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

Answer

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

Explanation

The passenger train traveled the same distance in 4 hours as the freight train did in 6 hours. By setting up and solving an equation, we found that the speed of the passenger train is 60 km/h.