Question

5. От города до поселка автомобиль доехал за 3 ч. Если бы скорость была увеличена на 25 км/ч, то путь длился бы 2 ч. С какой скоростью ехал автомобиль и чему равно расстояние от города до поселка?​

Answer 1

Ответ:

пусть х(км/ч) скорость автомобиля,тогда (х+25)км/ч увеличенная скорость.Состовляем уравнение

х*3=(х+25)*2

3х=2х+50

3х-2х=50

х=50

50км/ч скорость автомобиля

50*3=150км

Ответ: автомобиль ехал со скоростью 50км/ч расстоянии от поселка до города 150км

Answer 2

Calculation of Speed and Distance

To find the speed and distance traveled by the car, we can use the given information. Let's denote the original speed of the car as x km/h.

According to the problem, the car took 3 hours to travel from the city to the village at the original speed. If the speed was increased by 25 km/h, the car would have taken 2 hours to cover the same distance.

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

Equation 1: distance = x km/h × 3 hours

Equation 2: distance = (x + 25) km/h × 2 hours

Since the distance is the same in both equations, we can equate them:

x km/h × 3 hours = (x + 25) km/h × 2 hours

Now we can solve this equation to find the value of x.

Solving the Equation

Let's simplify the equation step by step:

3x = 2(x + 25)

Expanding the brackets:

3x = 2x + 50

Combining like terms:

3x - 2x = 50

Simplifying:

x = 50

Therefore, the original speed of the car was 50 km/h.

Calculating the Distance

To find the distance from the city to the village, we can substitute the value of x into one of the original equations. Let's use Equation 1:

distance = 50 km/h × 3 hours

Calculating:

distance = 150 km

Therefore, the distance from the city to the village is 150 km.

To summarize: - The car was traveling at a speed of 50 km/h. - The distance from the city to the village is 150 km.

Please note that the sources provided did not contain specific information related to this question. The solution was derived using mathematical calculations based on the given information.