Question

От города по посёлка автомобиль доехал за 3 часа.Если бы он увеличил скорость на 25 кмч,он затратил бы на 1 час меньше,скольким километрам равно растояние от города до посёлка?

Answer 1

Х - первоначальная скорость
х+25 - увеличенная скорость
3х=2*(х+25)
3х=2х+50
3х-2х=50
х=50 км/ч - перврнач-я скорость
3*50=150 км - растояние

Answer 2

Calculation of Distance from City to Village

To calculate the distance from the city to the village, we can use the information provided.

Let's assume that the initial speed of the car is x km/h and the distance from the city to the village is d km.

According to the given information, the car takes 3 hours to travel from the city to the village at the initial speed.

If the car were to increase its speed by 25 km/h, it would take 1 hour less to reach the village.

Using this information, we can set up the following equation:

d / x = 3 (Equation 1)

d / (x + 25) = 2 (Equation 2)

Solving these equations will give us the value of d, which represents the distance from the city to the village.

To solve the equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From Equation 1, we can express d in terms of x:

d = 3x (Equation 3)

Substituting Equation 3 into Equation 2:

3x / (x + 25) = 2

Cross-multiplying:

3x = 2(x + 25)

Expanding:

3x = 2x + 50

Simplifying:

x = 50

Substituting the value of x back into Equation 3:

d = 3(50) = 150

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

Please note that the given information does not provide the exact values for the speed and distance, so the calculations are based on the assumptions made.