Question

Моторная лодка собственная скорость которой равна 21 км/ч отправилась из города А по течению реки, скорость которой равна 3 км/ч , в город В. Остановившись в городе В на 7 часов,лодка отправилась обратно в город А. На весь путь было потрачено 35 часов.Сколько километров прошла лодка ? СРОЧНО, ДАМ 50 БАЛОВ!!! ответ 288 не подходит​

Answer 1

Ответ:

288 подходит!

Пошаговое объяснение:

Answer 2

288 точний ответ вот так вот

Answer 3

Problem Analysis

We are given the following information: - The speed of a motorboat is 21 km/h. - The speed of the river's current is 3 km/h. - The boat stops in city B for 7 hours. - The total time for the round trip is 35 hours.

We need to find the distance traveled by the boat.

Solution

Let's break down the problem into different parts.

1. Let's assume the distance between city A and city B is d km. 2. When the boat is traveling from city A to city B, it is moving against the current, so its effective speed is the difference between the boat's speed and the current's speed: 21 km/h - 3 km/h = 18 km/h. 3. The time taken to travel from city A to city B is d/18 hours. 4. The boat stops in city B for 7 hours. 5. When the boat is traveling from city B to city A, it is moving with the current, so its effective speed is the sum of the boat's speed and the current's speed: 21 km/h + 3 km/h = 24 km/h. 6. The time taken to travel from city B to city A is d/24 hours. 7. The total time for the round trip is 35 hours, so we can write the equation: d/18 + 7 + d/24 = 35.

Now, let's solve the equation to find the value of d, which represents the distance traveled by the boat.

Calculation

To solve the equation d/18 + 7 + d/24 = 35 for d, we can follow these steps:

1. Multiply the equation by the least common multiple (LCM) of the denominators (18 and 24), which is 72, to eliminate the fractions. - After multiplying, the equation becomes: 4d + 504 + 3d = 2520. 2. Combine like terms. - The equation simplifies to: 7d + 504 = 2520. 3. Subtract 504 from both sides of the equation. - The equation becomes: 7d = 2016. 4. Divide both sides of the equation by 7. - The equation simplifies to: d = 288.

Answer

The boat traveled a distance of 288 km.

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