Question

Автомобиль за три дня проехал 750 км. За первые два дня он проехал 535 км. Сколько километров он проезжал в каждый из трех дней,если в первый день он проехал на 85 км больше, чем во второй?

Answer 1

Х км проехал во второй день
х + 85 км проехал в первый день
х + х + 85 = 535
2х = 450
х = 225 км проехал во второй день
225 + 85 = 310 км проехал в первый день
750 - 225 - 310 = 215 км проехал в третий день

Answer 2

Calculating the Distance Traveled Each Day

To calculate the distance the car traveled each day, we can use the information provided.

Let's denote: - The distance traveled on the first day as x km. - The distance traveled on the second day as y km. - The total distance traveled over three days as 750 km.

We are also given that the car traveled 85 km more on the first day than on the second day. This gives us the equation: x = y + 85.

We also know that the car traveled 535 km over the first two days. This gives us the equation: x + y = 535.

Using these two equations, we can solve for the values of x and y.

Solving for the Distance Traveled Each Day

Let's solve the equations to find the values of x and y.

From the equation x = y + 85, we can substitute x in the equation x + y = 535 to solve for y.

Substituting x = y + 85 into x + y = 535 gives us: (y + 85) + y = 535.

Solving for y: 2y + 85 = 535, 2y = 535 - 85, 2y = 450, y = 225.

Now that we have the value of y, we can find the value of x using the equation x = y + 85: x = 225 + 85, x = 310.

Conclusion

The car traveled: - 310 km on the first day, - 225 km on the second day, and - 215 km on the third day.

This satisfies the given conditions and adds up to a total of 750 km over three days.