Question

Помогите с задачей на движение : Автомобиль и автобус отправились одновременно с двух автобусных станций навстречу друг другу и встретились через 2 ч. Чему равно расстояние между станциями, если скорость автобуса 40 км/ч, а автомобиля 70 км/ч? скорость автобуса 50 км/ч,а автомобиля 85 км/ч.

Answer 1

1.
1) 40+70=110 (км/ч) - скорость сближения.
2) 110•2=220 (км)
Ответ: расстояние между станциями - 220 км.
2.
1) 50+85=135 (км/ч) - скорость сближения.
2) 135•2= 270 (км)
Ответ: расстояние между станциями - 270 км.

Answer 2

Problem Analysis

We are given that an automobile and a bus start simultaneously from two bus stations and meet each other after 2 hours. We need to find the distance between the stations given that the bus's speed is 40 km/h and the automobile's speed is 70 km/h.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's assume the distance between the two bus stations is d km.

The time taken by the bus to cover this distance is given by: time = distance / bus speed.

Similarly, the time taken by the automobile to cover this distance is given by: time = distance / automobile speed.

Since both the bus and the automobile start simultaneously and meet each other after 2 hours, we can set up the following equation:

distance / bus speed = 2

distance / automobile speed = 2

We can solve these equations to find the value of distance.

Let's substitute the given values into the equations and solve for distance.

Calculation

Using the given values: - Bus speed = 40 km/h - Automobile speed = 70 km/h

We can set up the equations as follows:

d / 40 = 2

d / 70 = 2

Simplifying the equations:

d = 40 × 2

d = 80 km

d = 70 × 2

d = 140 km

Therefore, the distance between the two bus stations is either 80 km or 140 km.

Answer

The distance between the two bus stations can be either 80 km or 140 km.