Question

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

Answer 1

Х = скорость вертолета
х/5 =0,2х скорость машины
2*х=2*0,2*х+480
х=0,2х+240
0,8х=240
х=2400/8
х=300
Ответ: 300 км/ч

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. Let's calculate the distance traveled by the car in 2 hours:

Distance traveled by the car = Speed of the car * Time = x km/h * 2 h = 2x km

The helicopter traveled 480 km more than the car, so the distance traveled by the helicopter is:

Distance traveled by the helicopter = Distance traveled by the car + 480 km = 2x km + 480 km = (2x + 480) km

We know that the speed of the helicopter is 5 times greater than the speed of the car, so we can set up the following equation:

Speed of the helicopter * Time = Distance traveled by the helicopter

Substituting the values we have:

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

Simplifying the equation:

10x km = 2x + 480 km

10x - 2x = 480 km

8x = 480 km

x = 60 km/h

Therefore, the speed of the car is 60 km/h. Since the speed of the helicopter is 5 times greater, the speed of the helicopter is:

Speed of the helicopter = 5 * 60 km/h = 300 km/h

So, the speed of the helicopter is 300 km/h.

Answer

The speed of the helicopter is 300 km/h.