Question

Два автобуса отъехали одновременно от остановки в противоположных направлениях. через 2 ч расстояние между ними стало 270 км. скорость одного из этих автобусов 70 км/ч. найди скорость другого автобуса. реши задачу 2 способами.

Answer 1

При движении в противоположных направлениях скорость удаления равна сумме скоростей. Один из них прошел 70км/ч * 2ч. = 140км. Второй прошел 270 - 140 = 130км. Скорость второго 130:2 = 65км/ч.

Answer 2

Problem Statement

Два автобуса отъехали одновременно от остановки в противоположных направлениях. Через 2 часа расстояние между ними стало 270 км. Скорость одного из этих автобусов 70 км/ч. Найди скорость другого автобуса и реши задачу двумя способами.

Solution 1: Using Relative Speed

To find the speed of the other bus, we can use the concept of relative speed. Relative speed is the difference in speeds between two objects moving in opposite directions.

Let's assume the speed of the other bus is x km/h.

The speed of the first bus is given as 70 km/h.

Since the buses are moving in opposite directions, their relative speed is the sum of their individual speeds:

Relative speed = Speed of the first bus + Speed of the second bus

Using the formula for relative speed, we can write:

Relative speed = 70 km/h + x km/h

We know that the distance between the buses after 2 hours is 270 km. Using the formula for distance, which is speed multiplied by time, we can write:

Distance = Relative speed * Time

Substituting the values, we get:

270 km = (70 km/h + x km/h) * 2 h

Simplifying the equation, we have:

270 km = (70 km/h + x km/h) * 2 h 270 km = (70 km/h + x km/h) * 2 h 270 km = 140 km/h + 2x km/h 2x km/h = 270 km - 140 km 2x km/h = 130 km x km/h = 130 km / 2 x km/h = 65 km/h

Therefore, the speed of the other bus is 65 km/h.

Solution 2: Using Distance Formula

Another way to solve this problem is by using the distance formula. The distance between the two buses after 2 hours is given as 270 km.

Let's assume the speed of the other bus is x km/h.

The speed of the first bus is given as 70 km/h.

Using the distance formula, we can write:

Distance = Speed * Time

For the first bus: Distance1 = 70 km/h * 2 h Distance1 = 140 km

For the second bus: Distance2 = x km/h * 2 h Distance2 = 2x km

The total distance between the two buses is the sum of their individual distances:

Distance1 + Distance2 = 270 km

Substituting the values, we get:

140 km + 2x km = 270 km

Simplifying the equation, we have:

2x km = 270 km - 140 km 2x km = 130 km x km = 130 km / 2 x km = 65 km/h

Therefore, the speed of the other bus is 65 km/h.

Both methods give us the same result: the speed of the other bus is 65 km/h.

Note: The search results provided did not directly answer the question, but the solution can be derived using basic mathematical concepts.