Question

Скорость вертолета в 5 раз больше скорости автомашины. Вертолет за 2 часа пролетел на 480 км больше,чем машина проехала за это же время. Найди скорость вертолета.

Answer 1

Пусть скорость верт x,скорость маш y, тогда:
x=5y
2x-2y=480
подставим x во второе уравнение получим:
2*(5*y)-2y=480
10y-2y=480
8y=480
y=480/8
y=60
теперь находим x:
x=5*60
x=300
Ответ: скорость вертолета 300 км/ч, скорость машины 60 км/ч.

Answer 2

скор верт x

скор маш y

x=5y

2x-2y=480

 

подставим x во второе уравнение получим

2*(5*y)-2y=480

10y-2y=480

8y=480

y=480/8

y=60

 

теперь находим x

x=5*60

x=300

Ответ: скорость вертолета 300 км/ч скорость машины 60 км/ч

Answer 3

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. This means that the helicopter traveled a distance of 480 km + x km in 2 hours, while the car traveled a distance of x km in 2 hours.

Using the formula distance = speed × time, we can set up the following equation:

(480 km + x km) = (5x km/h) × (2 hours)

Simplifying the equation, we get:

480 km + x km = 10x km

Now, we can solve for x to find the speed of the car.

Calculation

Let's solve the equation to find the value of x:

**480 km + x km