Question

7 Реши задачи. а) С автостанции одновременно отошли в противоположных направлениях автобус и такси-в 2 раза меньше. Через сколько часов расстояние между ними составит 540 км?​

Answer 1

ну вроде 540:2=270км/ч

540:27=2(ч)

Answer 2

Ответ:

1)540:3=180(км/ч скорость таксиста)

2)180*2=260(км/ч скорость автобуса)

3)260+180=540(км/ч их общая скорость)

4)540:540=1(ч.)

Ответ: через 1ч. между ними будет расстояние в 540 км.

Пошаговое объяснение:

Answer 3

Problem Analysis

We are given that a bus and a taxi start from a bus station in opposite directions. The distance between them is initially unknown. We need to determine how many hours it will take for the distance between them to become 540 km.

Solution

Let's assume that the initial distance between the bus and the taxi is x km. According to the problem statement, the taxi is traveling at a speed that is two times slower than the bus. Therefore, the speed of the taxi is 2v, where v is the speed of the bus.

We can use the formula distance = speed × time to calculate the distance traveled by each vehicle after a certain amount of time.

After t hours, the distance traveled by the bus will be v × t km, and the distance traveled by the taxi will be 2v × t km.

According to the problem, the sum of the distances traveled by the bus and the taxi is equal to the total distance between them, which is initially x km. Therefore, we can write the equation:

v × t + 2v × t = x

Simplifying the equation, we get:

3v × t = x

Now, we need to find the time t when the distance between them becomes 540 km. We can substitute this value into the equation and solve for v:

3v × t = 540

Simplifying the equation, we get:

v × t = 180

Now, we can substitute the value of v × t from the previous equation into this equation:

180 = 180

This equation is true for any value of v and t. Therefore, the time it takes for the distance between the bus and the taxi to become 540 km is irrelevant to the initial distance between them.

In conclusion, the time it takes for the distance between the bus and the taxi to become 540 km is not dependent on the initial distance between them. It will always be the same, regardless of the initial conditions.

Please let me know if I can help you with anything else.