Question

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

Answer 1

Пусть х км/ч скорость автобуса, тогда скорость автомобиля х+30 км/ч. Расстояние которое проехал автобус 2,1х км равно расстоянию которое проехал автомобиль 1,2(х+30). Составим уравнение: 2,1х=1,2(х+30), 2,1х-1,2х=36, 0,9х=36, х=40 км/ч скорость автобуса, 40+30=70 км/ч скорость автомобиля. держи заранее незащто

Answer 2

Problem Analysis

We are given that a car traveled from point A to point B in 1.2 hours, while a bus traveled the same distance in 2.1 hours. The car was traveling 30 km/h faster than the bus. We need to find the speed of each vehicle.

Solution

Let's assume the speed of the bus is x km/h. Since the car was traveling 30 km/h faster than the bus, the speed of the car would be x + 30 km/h.

To find the distance between points A and B, we can use the formula:

Distance = Speed × Time

For the car, the distance is the same as the distance traveled by the bus. Therefore, we can set up the following equation:

(x + 30) × 1.2 = x × 2.1

Simplifying the equation:

1.2x + 36 = 2.1x

36 = 2.1x - 1.2x

36 = 0.9x

Solving for x:

x = 36 / 0.9

x = 40

Therefore, the speed of the bus is 40 km/h.

Substituting the value of x back into the equation, we can find the speed of the car:

Speed of car = x + 30 = 40 + 30 = 70 km/h

So, the speed of the car is 70 km/h.

Answer

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