Question

Легковая машина проходит весь путь за 6 часов а грузовая машина проходит этот же путь за 12 часов. Автомашины выехали и едут навстречу друг другу. Через сколько часов они встретятся?

Answer 1

Через 4 часа они встретятся. Т.к.скорость сближения равна 1/4, а 1 разделить на 1/4 равно 4

Answer 2

Problem Analysis

We are given that a car completes the entire distance in 6 hours, while a truck completes the same distance in 12 hours. Both vehicles start at the same time and travel towards each other. We need to determine how many hours it will take for them to meet.

Solution

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

Let's assume the distance between the car and the truck is D.

The speed of the car is the distance traveled by the car divided by the time taken: Speed of car = D / 6.

Similarly, the speed of the truck is: Speed of truck = D / 12.

The relative speed of the car and truck is the sum of their speeds: Relative speed = (D / 6) + (D / 12).

The time taken for them to meet is equal to the distance between them divided by their relative speed: Time taken = D / ((D / 6) + (D / 12)).

Simplifying the equation, we get: Time taken = D / (D/4) = 4.

Therefore, it will take them 4 hours to meet.

Answer

The car and truck will meet after 4 hours.

Explanation

When two vehicles are traveling towards each other, the time taken for them to meet is inversely proportional to their relative speed. In this case, since the car and truck are traveling towards each other, their relative speed is the sum of their individual speeds. By dividing the distance between them by their relative speed, we can determine the time it takes for them to meet. In this scenario, the car and truck will meet after 4 hours.