Question

Помогите пожалуйста: От двух пристаней, расстояние между которыми 120км, одновременно отошли на встречу друг другу два теплохода. Один из них шёл со средней скоростью 22 км/ч, другой-18 км/ч. Через сколько часов теплоходы встретились? Какое расстояние прошёл до встречи каждый теплоход? Даю-20 б

Answer 1

22+18=40 км/ч - скорость двух теплоходов, 120 / 40=3 часа, они встретятся через 3 часа, 22*3=66 км, 18*3=54 км - расстояние, которое прошли теплоходы до встречи

Answer 2

Problem Analysis

We are given two steamboats that start from two different docks and move towards each other. The distance between the docks is 120 km. The first steamboat has a speed of 22 km/h, and the second steamboat has 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 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 docks is 120 km, we can set up the following equation:

22t + 18t = 120

Simplifying the equation:

40t = 120

Dividing both sides by 40:

t = 3

Therefore, it takes 3 hours for the steamboats to meet. To find the distance each steamboat traveled before the meeting, we substitute the value of t into the expressions for the distances:

First steamboat: 22t = 22 * 3 = 66 km

Second steamboat: 18t = 18 * 3 = 54 km

So, the first steamboat traveled 66 km, and the second steamboat traveled 54 km before they met.

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 they meet.