Question

Умоляю!!! Помогите решить задачу. От пристани Марьино к пристани Алешино отправился теплоход со скоростью 24 километра в час, а за 9 часов до него в этом же направлении вышел буксир с баржами со скоростью 8 километров в час, который прибыл в Алешино на 15 часов позже теплохода. Найдите расстояние между пристанями. Решите задачу только по действиям. Пожалуйста!!!

Answer 1

Зачем говорить умоляю просто скажи я бы тебе помогла пора спать и я не умею этого делать.

Answer 2

Х- время в пути теплохода
расстояние между пристанями 24х
или 8 х(9+х+15)
24х=72+8х+120
24х-8х=192
16х=192
х=12
24х12=288 км расстояние между пристанями

Answer 3

Problem Analysis

To solve this problem, we need to find the distance between the Mar'ino and Aleshino ports. We are given the speed of a ship and a tugboat with barges, as well as the time it took for the tugboat to arrive at Aleshino after the ship. We can use the formula `distance = speed * time` to find the distance traveled by each vessel.

Solution

Let's break down the information given in the problem: - The ship traveled from Mar'ino to Aleshino at a speed of 24 kilometers per hour. - The tugboat with barges traveled from Mar'ino to Aleshino at a speed of 8 kilometers per hour. - The tugboat arrived at Aleshino 15 hours after the ship.

To find the distance between the ports, we need to calculate the distance traveled by both the ship and the tugboat.

Let's start with the ship: - Speed of the ship: 24 kilometers per hour - Time taken by the ship: unknown

Let's assume the time taken by the ship to travel from Mar'ino to Aleshino is t hours.

Using the formula `distance = speed * time`, we can calculate the distance traveled by the ship: - Distance traveled by the ship = 24 * t kilometers

Now let's move on to the tugboat: - Speed of the tugboat: 8 kilometers per hour - Time taken by the tugboat: 9 hours more than the ship

Since the tugboat arrived at Aleshino 15 hours after the ship, we can write the equation: - Time taken by the tugboat = t + 9 + 15 hours

Using the formula `distance = speed * time`, we can calculate the distance traveled by the tugboat: - Distance traveled by the tugboat = 8 * (t + 9 + 15) kilometers

Now, the distance between the ports is the same for both the ship and the tugboat. Therefore, we can set up an equation: - Distance traveled by the ship = Distance traveled by the tugboat

Substituting the values we calculated earlier, we have: - 24 * t = 8 * (t + 9 + 15)

Simplifying the equation: - 24t = 8t + 8 * 9 + 8 * 15

Solving for t: - 24t - 8t = 72 + 120 - 16t = 192 - t = 192 / 16 - t = 12

Therefore, the time taken by the ship to travel from Mar'ino to Aleshino is 12 hours.

Now, we can calculate the distance between the ports: - Distance traveled by the ship = 24 * 12 = 288 kilometers

Answer

The distance between the Mar'ino and Aleshino ports is 288 kilometers.

I hope this helps! Let me know if you have any further questions.