Question

Легковая машина может доехать от одного города до другого за 8 часов, а грузовая за 6 часов. Через сколько часов встретятся машины, если они ведут одновременно из этих городов навстречу друг другу?

Answer 1

Вони зустрінуться через 1 годину

Answer 2

Problem Analysis

We are given that a car can travel from one city to another in 8 hours, while a truck can make the same journey in 6 hours. We need to determine how many hours it will take for the car and the truck to meet if they start simultaneously from their respective cities and travel towards each other.

Solution

Let's assume that the distance between the two cities is D.

The car's speed can be calculated as D/8 (since it takes 8 hours to cover the distance D), and the truck's speed can be calculated as D/6 (since it takes 6 hours to cover the distance D).

When the car and the truck start simultaneously from their respective cities and travel towards each other, their combined speed is the sum of their individual speeds.

Therefore, the combined speed of the car and the truck is (D/8) + (D/6).

To find the time it takes for them to meet, we can use the formula:

Time = Distance / Speed

In this case, the distance they need to cover is D, and the combined speed is (D/8) + (D/6).

So, the time it takes for the car and the truck to meet is:

Time = D / [(D/8) + (D/6)]

Simplifying the equation:

Time = D / [(3D + 4D) / 24]

Time = D / (7D / 24)

Time = 24 / 7

Therefore, the car and the truck will meet after approximately 3.43 hours.

Answer

If the car and the truck start simultaneously from their respective cities and travel towards each other, they will meet after approximately 3.43 hours.

Please let me know if you need any further assistance!