Question

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

Answer 1

X - скорость машины
5X - скорость вертолёта
Уравнение:
2*5X-2*X=480
10X-2X=480
8X=480
X=480/8
X=60
5X=300
Ответ: 300 км/ч

Answer 2

Calculating Helicopter Speed

To find the speed of the helicopter, we can use the following steps:

1. Set up the equation for distance traveled by the helicopter and the car: - Let the speed of the car be represented by v. - The speed of the helicopter would then be 5v (5 times the speed of the car). - The time taken by both the car and the helicopter is 2 hours. - The helicopter traveled 480 km more than the car in this time.

2. Using the formula: distance = speed × time, we can set up the equation: - For the car: distance_car = v × 2 - For the helicopter: distance_helicopter = 5v × 2

3. Equating the distances and solving for v: - We have the equation: 5v × 2 = v × 2 + 480 - Solving for v will give us the speed of the car, and then we can find the speed of the helicopter.

Calculating the Speed

Using the equation from the previous step, we can solve for v:

5v × 2 = v × 2 + 480

Solving for v: 10v = 2v + 480 10v - 2v = 480 8v = 480 v = 60

So, the speed of the car (v) is 60 km/h.

Now, we can find the speed of the helicopter, which is 5 times the speed of the car: 5v = 5 × 60 = 300 km/h

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