Question

Расстояние между пунктами а и в автомобиль проехал за 1,2 часа , а автобус за 2,1.Найдите скорость каждой машины, если автомобиль двигался на 30 км/ч быстрее, чем автобус

Answer 1

1) 1,2 (х+30) = 2,1х

 1,2х+25 = 2,1х

1,2х - 2,1х = -25

-0,9х = -25

х = 27,7  км/час - автобус

27,7 + 30 = 57,7 км/час - автомобиль

Answer 2

Calculation of Speed

To find the speed of each vehicle, we need to determine the distance traveled by each vehicle and the time taken.

Given: - The car traveled between points A and B in 1.2 hours. - The bus traveled between points A and B in 2.1 hours. - The car was traveling 30 km/h faster than the bus.

Let's assume the speed of the bus is x km/h. Therefore, the speed of the car would be x + 30 km/h.

To calculate the distance, we can use the formula:

Distance = Speed × Time

For the car: - Speed = x + 30 km/h - Time = 1.2 hours

For the bus: - Speed = x km/h - Time = 2.1 hours

Now, we can calculate the distances traveled by each vehicle.

For the car: Distance (car) = Speed (car) × Time (car) = (x + 30) × 1.2.

For the bus: Distance (bus) = Speed (bus) × Time (bus) = x × 2.1.

Since the distances traveled by both vehicles are the same (as they traveled between the same points), we can equate the two equations:

(x + 30) × 1.2 = x × 2.1

Now, let's solve this equation to find the value of x.

Solving the Equation

Expanding the equation, we get:

1.2x + 36 = 2.1x

Rearranging the equation, we get:

2.1x - 1.2x = 36

Simplifying, we have:

0.9x = 36

Dividing both sides by 0.9, we find:

x = 40

Therefore, the speed of the bus (x) is 40 km/h, and the speed of the car (x + 30) is 70 km/h.

Answer

The speed of the bus is 40 km/h, and the speed of the car is 70 km/h.