Question

Весь путь автомобиля составил 465км. На первый участок пути по шоссе автомобиль затратил 3 часа, на второй по просёлочной дороге - 5 часов. Найдите скорость автомобиля на каждом участке пути , если известно, что на просёлочной дороге его скорость была на 27км/ч меньше, чем на шоссе.

Answer 1

1) 465:3=155(км/ч)-по шоссе 2) 465:5=93(км/ч)-по проселочной дороге.

Answer 2

Problem Analysis

We are given that the total distance traveled by a car is 465 km. The car took 3 hours to travel the first part of the distance on a highway and 5 hours to travel the second part on a dirt road. We are also told that the car's speed on the dirt road was 27 km/h less than its speed on the highway. We need to find the speed of the car on each part of the journey.

Solution

Let's assume the speed of the car on the highway is x km/h. Since the car's speed on the dirt road is 27 km/h less, the speed on the dirt road would be x - 27 km/h.

To find the speed of the car on each part of the journey, we can use the formula:

Speed = Distance / Time

For the first part of the journey on the highway, the distance is unknown, the time is 3 hours, and the speed is x km/h. Using the formula, we can write:

x = Distance / 3

For the second part of the journey on the dirt road, the distance is unknown, the time is 5 hours, and the speed is x - 27 km/h. Using the formula, we can write:

x - 27 = Distance / 5

We can solve these two equations simultaneously to find the values of x and Distance.

Let's solve the equations:

x = Distance / 3 (Equation 1)

x - 27 = Distance / 5 (Equation 2)

To eliminate the variable Distance, we can multiply Equation 1 by 5 and Equation 2 by 3:

5x = Distance

3x - 81 = Distance

Now we can equate the two expressions for Distance:

5x = 3x - 81

Simplifying the equation:

2x = -81

x = -40.5

Since speed cannot be negative, we discard this solution.

Therefore, there is no valid solution for this problem.

Conclusion

Based on the given information, there is no valid solution for finding the speed of the car on each part of the journey.