Question

Скорость вертолета в 6 раз больше скорости машины.вертолет пролетел за 2 часа на 510 км больше чем машина проехала за это же время.найди скорость вертолета и скорость машины

Answer 1

Х - скорость машины
6х - скорость вертолета
6х*2-х*2=510
12х-2х=510
10х=510
х=510:10
х=51 (км/ч)
6х=51*6=306 (км/ч)
Ответ: скорость машины 51 км/ч, а вертолета 306 км/ч

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:

Distance traveled by the helicopter = Distance traveled by the car + 510 km

The distance traveled by the helicopter is the product of its speed and time, which is (6x * 2) km. The distance traveled by the car is the product of its speed and time, which is (x * 2) km. Substituting these values into the equation, we get:

(6x * 2) km = (x * 2) km + 510 km

Simplifying the equation, we have:

12x km = 2x km + 510 km

Subtracting 2x km from both sides of the equation, we get:

10x km = 510 km

Dividing both sides of the equation by 10, we find:

x = 51 km/h

Therefore, the speed of the car is 51 km/h. Since the speed of the helicopter is 6 times greater, the speed of the helicopter is 6 * 51 = 306 km/h.

Answer

The speed of the car is 51 km/h and the speed of the helicopter is 306 km/h.