Question

Скорость вертолета в 6раз больше скорости машины. Вертолет пролетел за 2часа на 510 км больше, чем машина проехала за это де время. Найди скорость вертолета и скорость машины

Answer 1

Скорость машины - х
скорость вертолета-6х
расстояние которое преодолела машина за 2 часа - у
расстояние которое преодолел вертолет за 2 часа - у+510
составляем систему уравнений:
первое для машины 
х*2(т.к. за 2 часа)=у
второе для вертолета
6х*2=у+510
решаем( выражаем во втором уравнении у через х)
6х*2=2х+510
12х-2х=510
10х=510
х=51 (скорость автомобиля)
6х=51*6=306 (скорость вертолета)

Answer 2

Problem Analysis

We are given that the speed of a helicopter is 6 times greater than the speed of a car. The helicopter traveled 510 km more than the car in 2 hours. We need to find the speed of the helicopter and the speed of the car.

Solution

Let's assume the speed of the car is x km/h. Since the speed of the helicopter is 6 times greater than the speed of the car, the speed of the helicopter is 6x km/h.

We are given that the helicopter traveled 510 km more than the car in 2 hours. This can be represented by the equation:

2x + 510 = 6x

To find the value of x, we can solve this equation.

Calculation

Subtracting 2x from both sides of the equation:

510 = 4x

Dividing both sides of the equation by 4:

x = 127.5

Therefore, the speed of the car is 127.5 km/h.

The speed of the helicopter is 6 times greater than the speed of the car, so:

6x = 6 * 127.5 = 765

Therefore, the speed of the helicopter is 765 km/h.

Answer

The speed of the car is 127.5 km/h and the speed of the helicopter is 765 km/h.