Question

Решить задачу. От двух пристаней, расстояние между которыми 120 км. , одновременно вышли навстречу друг другу 2 теплохода. Скорость одного 22 км/час, скорость второго-18 км/час. Через сколько часов теплоходы встретились ? Какое расстояние прошел до встречи каждый теплоход ?

Answer 1

18+22=40 120÷40=3......

Answer 2

1) 18 + 22 = 40(км\час)-скорость 1 и 2 теплохода
   2)120 : 40 = 3 (часа)-3 часа необходимо ,чтобы теплоходы встретились

Answer 3

Problem Analysis

We have two ships traveling towards each other from two different ports. The distance between the ports is 120 km. The first ship has a speed of 22 km/h, and the second ship has a speed of 18 km/h. We need to find out how many hours it takes for the ships to meet and the distance each ship has traveled before the meeting.

Solution

Let's assume that it takes t hours for the ships to meet. During this time, the first ship will travel a distance of 22t km, and the second ship will travel a distance of 18t km. Since the total distance between the ports is 120 km, the sum of the distances traveled by both ships should be equal to 120 km.

So, we can set up the following equation:

22t + 18t = 120

Simplifying the equation:

40t = 120

Dividing both sides of the equation by 40:

t = 3

Therefore, it takes 3 hours for the ships to meet.

To find out the distance each ship has traveled before the meeting, we can substitute the value of t into the expressions for the distances traveled by each ship:

Distance traveled by the first ship = 22t = 22 * 3 = 66 km

Distance traveled by the second ship = 18t = 18 * 3 = 54 km

Answer

The ships will meet after 3 hours. The first ship will have traveled 66 km, and the second ship will have traveled 54 km before the meeting.

Explanation

The problem can be solved by setting up an equation based on the distances traveled by each ship and the total distance between the ports. By solving the equation, we find that it takes 3 hours for the ships to meet. The distances traveled by each ship before the meeting are 66 km for the first ship and 54 km for the second ship.