Question

Срочно помогите,решить задачу. За три недели отремонтировали 58 км дороги. За первую неделю отремонтировали в 3 раза больше,чем за третью,а за вторую - на 8 км больше,чем за третью.Сколько километров дороги отремонтировали за третью неделю?

Answer 1

Problem Analysis

To solve this problem, we need to determine the number of kilometers of road that were repaired during the third week. We are given the following information:

- The total length of road repaired over three weeks is 58 km. - The amount of road repaired during the first week is three times more than the amount repaired during the third week. - The amount of road repaired during the second week is 8 km more than the amount repaired during the third week.

Let's break down the problem and solve it step by step.

Solution

Let's assume the amount of road repaired during the third week is x km.

According to the given information: - The amount of road repaired during the first week is three times more than the amount repaired during the third week. So, the amount repaired during the first week is 3x km. - The amount of road repaired during the second week is 8 km more than the amount repaired during the third week. So, the amount repaired during the second week is (x + 8) km.

The total length of road repaired over three weeks is 58 km. Therefore, we can write the equation:

x + 3x + (x + 8) = 58

Simplifying the equation:

5x + 8 = 58 5x = 50 x = 10

Therefore, the amount of road repaired during the third week is 10 km.

Answer

The amount of road repaired during the third week is 10 km.

Note: The answer is based on the given information and the assumption made.