Question

Два грузовика выехали одновременно из двух городов навстречу друг другу. К моменту встречи один из них прошел всего пути и еще 15 км, а другой - половину расстояния, пройденного первым. Найти расстояние между городами.

Answer 1

возьмём за x  половину всего пути, а весь путь получается равен 2х. Получуется, что 1 грузовик прошёл расстояние х+15, а 2 грузовик (х+15)/2.
Составим уравнение:  

2х=х+15+(х+15)/2     (домножим все члены уравнения на два)

4х=2х+30+х+15

4х-2х-х=45

х=45

45 км - пол пути, то весь путь равен 45*2=90 км

 

Answer 2

Problem Analysis

We have two trucks that start from two different cities and travel towards each other. We need to find the distance between the cities based on the information given.

Solution

Let's assume the distance between the two cities is D.

According to the given information: - One of the trucks has traveled the entire distance D and an additional 15 km. - The other truck has traveled half the distance D that the first truck has traveled.

Based on this information, we can set up the following equation:

D + 15 = (1/2)D

To find the value of D, we can solve this equation.

Calculation

Let's solve the equation to find the value of D:

D + 15 = (1/2)D

Multiply both sides of the equation by 2 to eliminate the fraction:

2(D + 15) = D

Expand the equation:

2D + 30 = D

Subtract D from both sides:

2D - D + 30 = 0

Simplify:

D + 30 = 0

Subtract 30 from both sides:

D = -30

Since distance cannot be negative, we can conclude that there is an error in the given information or the problem statement.

Conclusion

Based on the given information, it is not possible to determine the distance between the two cities. Please double-check the information provided or provide additional details to solve the problem accurately.