Question

помогите пожалуйста 2 грузовика выехали одновременно из 2 х 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

Problem Analysis

Two trucks are traveling towards each other from two different cities. We need to find the distance between the cities given the information that one truck has traveled 5/12 of the total distance plus an additional 15 km, while the other truck has traveled half the distance covered by the first truck.

Solution

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

According to the given information: - The first truck has traveled 5/12 of the total distance plus an additional 15 km. This can be expressed as (5/12)D + 15 km. - The second truck has traveled half the distance covered by the first truck. This can be expressed as (1/2) * [(5/12)D + 15 km].

To find the distance between the cities, we need to solve the equation:

(Distance covered by the first truck) + (Distance covered by the second truck) = Total distance between the cities

Let's substitute the given values into the equation and solve for D.

Calculation

(Distance covered by the first truck) + (Distance covered by the second truck) = Total distance between the cities

(5/12)D + 15 km + (1/2) * [(5/12)D + 15 km] = D

Simplifying the equation:

(5/12)D + 15 km + (5/24)D + (15/2) km = D

Multiplying through by 24 to eliminate the fractions:

10D + 360 km + 5D + 180 km = 24D

15D + 540 km = 24D

Subtracting 15D from both sides:

540 km = 9D

Dividing both sides by 9:

D = 60 km

Answer

The distance between the cities is 60 km.