Question

Скоростьвертвлета в 6 раз больше скорости машины . верталет пролетел за 2 ч на 510 км больше, чем машина проехала за это же время . найди скорость верталета и скорость машины.

Answer 1

Скорость вертолёта равна 255 км/Ч а скорость авто соответственно в 6 раз меньше и она равна 42, 5 км/Ч

Answer 2

Problem Analysis

To solve this problem, we need to find the speeds of both the helicopter and the car. We are given that the helicopter's speed is 6 times greater than the car's speed. Additionally, we know that the helicopter traveled 510 km more than the car in a time period of 2 hours.

Solution

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

We are also given that the helicopter traveled 510 km more than the car in a time period of 2 hours. This means that the distance traveled by the helicopter is equal to the distance traveled by the car plus 510 km.

Let's denote the distance traveled by the car as d km. Therefore, the distance traveled by the helicopter is d + 510 km.

We can use the formula speed = distance / time to calculate the speeds of the car and the helicopter.

For the car: x = d / 2 (since the car traveled for 2 hours)

For the helicopter: 6x = (d + 510) / 2 (since the helicopter traveled for 2 hours)

Now we can solve these equations to find the values of x and d.

Calculation

Let's solve the equations to find the values of x and d.

From the equation x = d / 2, we can isolate d: d = 2x

Substituting this value of d into the equation 6x = (d + 510) / 2, we get: 6x = (2x + 510) / 2

Simplifying the equation: 12x = 2x + 510

Subtracting 2x from both sides: 10x = 510

Dividing both sides by 10: x = 51

Now that we have the value of x, we can find the value of d: d = 2x = 2 * 51 = 102

Therefore, the speed of the car is 51 km/h and the speed of the helicopter is 6x = 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.