Question

Два автобус отъехали одновременно от остановки в проттивоположных направлениях.Через 2 часа расстояние между ними стало 270 км. Скорость одного из этих автобусов 70 км/ч. Найди скорость другого автобуса . Решил задачу двумя способами НЕ ДВУМЯ ДЕЙСТВИЯМИ А ДВУМЯ СПОСОБАМИ!

Answer 1

Первый способ
1) 270 : 2 = 135(км/ч) - скорость разбега автобусов
2) 135 - 70 = 65(км/ч)
Ответ: 65км/ч - скорость 2-ого автобуса.
Второй способ:
1) 70 * 2 = 140(км) проехал 1-ый автобус за 2 часа
2) 270 - 140 = 130 (км) проехал 2-ой автобус за 2 часа
3) 130 : 2 = 65(км/ч)
Ответ: тот же.

Answer 2

70*2=140 км проехал первый автобус за два часа
270-140=130 км проехал второй
130:2=65 км/ч скорость второго

х+70=270:2
Х+70=135
Х=135-70
Х=65 км /ч ( второй способ)

Answer 3

Problem Statement

Two buses departed simultaneously from a stop in opposite directions. After 2 hours, the distance between them was 270 km. One of the buses was traveling at a speed of 70 km/h. Find the speed of the other bus. Solve the problem in two different ways.

Method 1: Algebraic Approach

Let's denote the speed of the second bus as x km/h.

After 2 hours, the first bus has traveled a distance of 70 * 2 = 140 km. After 2 hours, the second bus has traveled a distance of x * 2 km.

The total distance between the two buses after 2 hours is the sum of their distances traveled: 140 km + x * 2 = 270 km

Solving for x: x * 2 = 270 - 140 x * 2 = 130 x = 130 / 2 x = 65 km/h

So, the speed of the second bus is 65 km/h.

Method 2: Relative Speed Approach

The relative speed of the two buses is the sum of their individual speeds, as they are moving in opposite directions.

Let v1 be the speed of the first bus (70 km/h) and v2 be the speed of the second bus.

The relative speed of the two buses is: v1 + v2

Given that the distance between them after 2 hours is 270 km, we can use the formula: Distance = Speed * Time

So, the total distance covered by the two buses after 2 hours is: Distance = (v1 + v2) * 2

Setting this equal to the given distance: (v1 + v2) * 2 = 270

Substitute the value of v1 and solve for v2: (70 + v2) * 2 = 270 70 + v2 = 270 / 2 70 + v2 = 135 v2 = 135 - 70 v2 = 65 km/h

So, the speed of the second bus is 65 km/h.

Both methods yield the same result: the speed of the second bus is 65 km/h.