Question

Решите задачу линейным уравнением Автомобиль ехал 3 часа по шоссе и, уменьшив скорость на 16 км/ч , 4 часа ехал по грунтовой дороге . За это время автомобиль проехал 349 км. Найдите скорость автомобиля по шоссе и грунтовой дороге . Решите мне пж задачу линейным уравнением

Answer 1

Вот всё правильно, удачи

Answer 2

Problem Analysis

To solve this problem using a linear equation, we need to set up two equations based on the given information. Let's denote the speed of the car on the highway as x km/h and the speed of the car on the dirt road as y km/h. We can use the formula distance = speed × time to set up the equations.

Equation 1: Highway

The car traveled for 3 hours on the highway and reduced its speed by 16 km/h. So the equation for the distance traveled on the highway is: 3(x - 16) = ?

Equation 2: Dirt Road

The car traveled for 4 hours on the dirt road. So the equation for the distance traveled on the dirt road is: 4y = ?

We also know that the total distance traveled is 349 km. So we can set up the equation: 3(x - 16) + 4y = 349

Now we can solve this system of equations to find the values of x and y.

Solving the Equations

Let's solve the system of equations using the substitution method.

From Equation 2, we can express y in terms of x: y = 349/4 - 3(x - 16)/4

Substituting this value of y into Equation 1, we get: 3(x - 16) + 4(349/4 - 3(x - 16)/4) = 349

Simplifying the equation: 3x - 48 + 349 - 3(x - 16) = 349 3x - 48 + 349 - 3x + 48 = 349 3x - 3x = 349 - 349 0 = 0

Since the equation simplifies to 0 = 0, this means that the equation is true for all values of x. Therefore, there are infinitely many solutions to this problem.

Conclusion

Based on the given information, there are infinitely many possible combinations of speeds for the car on the highway and the dirt road that would result in a total distance of 349 km. The specific values for the speeds cannot be determined without additional information.

Please let me know if there is anything else I can help you with!