Question

От двух пристаней расстояние между которыми 120 км, одновременно навстречу друг другу отошли два теплохода. Один из них шел со скоростью 22 км/ч, другой - со скоростью 18 км/ч. Через сколько часов теплоходы встретились? Какое расстояние прошел до встречи каждый теплоход?

Answer 1

22+18=40км/ч плывут 2 теплохода вместе
120:40=3 ч встретятся теплоходы
3×22=66 км проплыл 1 теплоход
3×18=54 км проплыл 2 теплоход
Ответ: через три часа теплоходы встретятся. 66 км проплыл первый теплоход до встречи. 54км
проплыл 2 теплоход до встречи

Answer 2

Problem Analysis

We are given that there are two steamboats that are 120 km apart and are moving towards each other. The first steamboat is moving at a speed of 22 km/h, while the second steamboat is moving at a speed of 18 km/h. We need to find out how many hours it takes for the steamboats to meet and the distance each steamboat has traveled before the meeting.

Solution

Let's assume that it takes t hours for the steamboats to meet. During this time, the first steamboat will travel a distance of 22t km, and the second steamboat will travel a distance of 18t km.

Since the total distance between the steamboats is 120 km, we can set up the following equation:

22t + 18t = 120

Simplifying the equation, we get:

40t = 120

Dividing both sides of the equation by 40, we find:

t = 3

Therefore, it takes 3 hours for the steamboats to meet. During this time, the first steamboat travels a distance of 22 * 3 = 66 km, and the second steamboat travels a distance of 18 * 3 = 54 km.

Answer

The steamboats will meet after 3 hours. The first steamboat will travel a distance of 66 km, and the second steamboat will travel a distance of 54 km before the meeting.