Question

Скорость вертолёта в 5 раз больше скорости автомашины. Вертолёт за 2ч. пролетел на 480 км больше, чем машина проехала за это же время. Найди скорость вертолёта.

Answer 1

Машина :
Скорость -  х км/ч
Время в пути  - 2 часа
Расстояние  - 2х км

Вертолет:
Скорость  -  5х км/ч
Время - 2 часа
Расстояние -  2*5х   км

Разница в расстоянии  - 480 км
Уравнение.
2*5х  - 2х =480
10х- 2х=480
8х=480
х=480:8
х= 60 км/ч     скорость машины
60 *5  = 300  км/ч   скорость вертолета
Ответ: 300 км/ч  скорость вертолета.

Answer 2

Problem Analysis

We are given that the speed of a helicopter is 5 times greater than the speed of a car. The helicopter traveled 480 km more than the car in 2 hours. We need to find the speed of the helicopter.

Solution

Let's assume the speed of the car is x km/h. Since the speed of the helicopter is 5 times greater, the speed of the helicopter is 5x km/h.

We are given that the helicopter traveled 480 km more than the car in 2 hours. This means that the helicopter traveled 480 km + x km in 2 hours, while the car traveled x km in 2 hours.

To find the speed of the helicopter, we can set up the following equation:

Speed of helicopter * Time = Distance (5x km/h) * 2 hours = (480 km + x km)

Let's solve this equation to find the speed of the helicopter.

Calculation

(5x km/h) * 2 hours = (480 km + x km)

Simplifying the equation: 10x km = 480 km + x km

Subtracting x km from both sides: 9x km = 480 km

Dividing both sides by 9: x km = 480 km / 9

Calculating the value of x: x km ≈ 53.33 km/h

Therefore, the speed of the car is approximately 53.33 km/h.

Since the speed of the helicopter is 5 times greater, the speed of the helicopter is: 5 * 53.33 km/h ≈ 266.67 km/h

Therefore, the speed of the helicopter is approximately 266.67 km/h.

Answer

The speed of the helicopter is approximately 266.67 km/h.