Question

От двух пристаней расстояние между которыми 120 км одновременно отошли навстречу друг другу два теплохода один из них прошёл со скоростью 22 км ч доугой со скоростью 18 км ч чеоез сколько часов теплоходы встретились? какое расстояние прошёл до встречи каждый теплоход?

Answer 1

120 / (18 + 22) = 3(ч) они встретились
22 * 3 = 66 (км) прошел до встречи первый теплоход
18 * 3 = 54 (км) прошел до встречи другой теплоход
Ответ: 3 ч, 66 км и 54 км

Answer 2

Problem Analysis

We are given that two ships are moving towards each other from two different ports, and we need to find the time it takes for them to meet and the distance each ship has traveled before the meeting.

Solution

Let's denote the distance traveled by the first ship as x and the distance traveled by the second ship as y. We are given that the total distance between the two ports is 120 km.

Since the ships are moving towards each other, the sum of the distances traveled by both ships should be equal to the total distance between the ports:

x + y = 120 km

We are also given the speeds of the ships. The first ship travels at a speed of 22 km/h, and the second ship travels at a speed of 18 km/h.

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

time = distance / speed

For the first ship, the time taken is x / 22 hours, and for the second ship, the time taken is y / 18 hours.

Since the ships start at the same time and meet at the same time, the time taken by both ships should be equal:

x / 22 = y / 18

We can solve this system of equations to find the values of x and y.

Calculation

Let's solve the system of equations:

1. From the equation x + y = 120, we can express x in terms of y: x = 120 - y

2. Substituting the value of x in the equation x / 22 = y / 18: (120 - y) / 22 = y / 18

3. Cross-multiplying and simplifying the equation: 18(120 - y) = 22y 2160 - 18y = 22y 2160 = 40y y = 54

4. Substituting the value of y in the equation x = 120 - y: x = 120 - 54 x = 66

Answer

The ships will meet after traveling for 54 km and 66 km respectively. It will take them 3 hours to meet.

Please let me know if I can help you with anything else.