Question

Решите задачу кратко пж: Два самолёта вылетели с аэродрома в одно и тоже время в противоположные направлениях. Через 10мин после вылета расстояние между ними было 270 км.Первый самолет летел со скоростью15км/мин С какой скоростью летел второй самолет? Составь и реши обратную задачу. Пжж

Answer 1

Два самолета вылетели с аэродрома в одно время в противоположные стороны. Через 10 минут расстояние между ними стало 270 км. Второй самолет летел со скоростью 12 км в минуту. С какой скоростью летел второй самолет?

(270-(12*10))/10=15 км в час

Answer 2

Problem Analysis

We have two airplanes that took off from the same airport at the same time, flying in opposite directions. After 10 minutes, the distance between them was 270 km. We know the speed of the first airplane is 15 km/min. We need to find the speed of the second airplane.

Solution

Let's assume the speed of the second airplane is x km/min.

After 10 minutes, the first airplane will have traveled a distance of 10 minutes * 15 km/min = 150 km.

Since the two airplanes are flying in opposite directions, the total distance between them after 10 minutes is the sum of the distances traveled by each airplane. Therefore, the distance traveled by the second airplane is 270 km - 150 km = 120 km.

Now, we can set up the equation to find the speed of the second airplane:

120 km = x km/min * 10 min

To solve for x, we divide both sides of the equation by 10:

12 km/min = x

Therefore, the speed of the second airplane is 12 km/min.

Reverse Problem

Now, let's create a reverse problem based on the given information.

Assume the speed of the second airplane is y km/min.

After 10 minutes, the first airplane will have traveled a distance of 10 minutes * 15 km/min = 150 km.

Since the two airplanes are flying in opposite directions, the total distance between them after 10 minutes is the sum of the distances traveled by each airplane. Therefore, the distance traveled by the second airplane is 270 km - 150 km = 120 km.

Now, we can set up the equation to find the speed of the second airplane:

120 km = y km/min * 10 min

To solve for y, we divide both sides of the equation by 10:

12 km/min = y

Therefore, the speed of the second airplane is 12 km/min.