Question

Два грузовика выехали одновременно из двух городов навстречу друг другу. К моменту встречи один из них прошел 5/12 всего пути и еще 15 км.,а другой- половину расстояния, пройденного первым. Найдите расстояние между городами.

Answer 1

x- весь путь

5х/12 + 15 -  прошел первый

5х/24+7,5 - прошел второй

5х/12 +15 + 5х/24 + 7,5 = х

х-10х/24+ 5х/24=22,5

х-15х/24=22,5

9х/24=22,5

х=22,5*24/9= 60 км между городами 

Answer 2

Calculating the Distance Between the Cities

Two trucks traveling from two different cities meet each other after one has covered 5/12 of the total distance and the other has covered half of the distance covered by the first truck. To find the distance between the cities, we can use the following approach:

Let's assume the total distance between the cities is represented by D.

The first truck has covered 5/12 of the distance, which is 5/12 * D, and then an additional 15 km. The second truck has covered half of the distance covered by the first truck, which is 5/24 * D.

To find the total distance D, we can set up the equation: 5/12 * D + 15 = 5/24 * D

Solving this equation will give us the distance between the cities.

Solution

Using the given information, we can set up the equation and solve for the distance D:

5/12 * D + 15 = 5/24 * D

Subtracting 5/24 * D from both sides: 5/12 * D - 5/24 * D + 15 = 0 10/24 * D + 15 = 0 10/24 * D = -15 D = -15 / (10/24) D = -15 * (24/10) D = -36

It seems there might be an error in the given information or the calculation. The distance between the cities cannot be negative. If there is additional information or if there was a mistake in the given data, please provide the correct details to proceed with the calculation.