Question

Расстояние между 2 городами равно 360 км. Лёгковая машина проходит это расстояние за 4 ч,а грузовая за 6 ч. Через сколько часов встретятся машины,если одновременно выедут из этих городов на встречу друг другу?

Answer 1

1) 360 : 4 = 90 ( км/час ) скорость легковой
2) 360 : 6 = 60 ( км/час) скорость грузовой 
3) 90 + 60 = 150 ( км/час ) скорость сближения 
4) 360 : 150 = 2,4 ( часа ) время встречи 
Ответ чере 2,4 часа 

Answer 2

Problem Analysis

We are given that the distance between two cities is 360 km. A car can cover this distance in 4 hours, while a truck takes 6 hours. We need to determine how many hours it will take for the two vehicles to meet if they start simultaneously from their respective cities and drive towards each other.

Solution

To find the time it takes for the two vehicles to meet, we can use the concept of relative speed. The relative speed is the sum of the speeds of the two vehicles.

Let's assume the speed of the car is C km/h and the speed of the truck is T km/h. We are given that the car covers the distance of 360 km in 4 hours, so we can write the equation:

C * 4 = 360

Similarly, the truck covers the same distance in 6 hours, so we can write the equation:

T * 6 = 360

We can solve these two equations simultaneously to find the values of C and T.

Calculation

From the first equation, we can solve for C:

C = 360 / 4 = 90 km/h

From the second equation, we can solve for T:

T = 360 / 6 = 60 km/h

Now that we have the speeds of the car and the truck, we can find their relative speed:

Relative Speed = C + T = 90 + 60 = 150 km/h

To find the time it takes for the two vehicles to meet, we can divide the distance between the cities by the relative speed:

Time = Distance / Relative Speed = 360 / 150 = 2.4 hours

Therefore, the car and the truck will meet after approximately 2.4 hours.

Answer

If the car and the truck start simultaneously from their respective cities and drive towards each other, they will meet after approximately 2.4 hours.