Question

Помогите пожалуйста!! от двух пристаней, расстояние между которыми 520 км, одновременно отошли навстречу друг другу два теплохода. Один из них шел со скоростью 22км/ч а другой со скоростью 18км/ч. через сколько часов теплоходы встретились? Какое расстояние прошёл до встречи каждый теплоход? Пожалуйста, помогите с задачей!

Answer 1

22+18=40- прошли оба                                                                                                                                                                                                                                           520:40=13

Answer 2

Problem Analysis

We are given two steamboats that start from opposite ends of a route that is 520 km long. One steamboat travels at a speed of 22 km/h, while the other travels at a speed of 18 km/h. We need to determine how many hours it takes for the steamboats to meet and the distance each steamboat has traveled before they meet.

Solution

Let's denote the time it takes for the steamboats to meet as t hours. We can set up the following equation to represent the distance traveled by each steamboat:

Distance traveled by the first steamboat = Speed of the first steamboat * Time = 22t Distance traveled by the second steamboat = Speed of the second steamboat * Time = 18t

Since the total distance between the two steamboats is 520 km, we can write the equation:

Distance traveled by the first steamboat + Distance traveled by the second steamboat = Total distance 22t + 18t = 520

Simplifying the equation: 40t = 520 t = 520 / 40 t = 13

Therefore, it takes 13 hours for the steamboats to meet.

To find the distance traveled by each steamboat before they meet, we substitute the value of t into the equations:

Distance traveled by the first steamboat = 22t = 22 * 13 = 286 km Distance traveled by the second steamboat = 18t = 18 * 13 = 234 km

Therefore, the first steamboat travels 286 km before they meet, and the second steamboat travels 234 km.

Answer

The steamboats meet after 13 hours. The first steamboat travels 286 km, and the second steamboat travels 234 km before they meet.

Please let me know if you need any further assistance!