Question

- 3 549. Собственная скорость катера равна 15 км/ч, скорость течения 1 реки 1 км/ч. Найдите скорость катера, плывущего по течению 2 и против течения реки. На сколько километров длина пути, прой- денного катером по течению за 3 ч, больше длины пути, пройден- ного катером против течения реки за это же время? .помогите пожалуйста ​

Answer 1

Ответ:

1) по течению 16 км/ч, а против 14 км/ч

2) не знаю

Answer 2

Problem Analysis

We are given the following information: - The speed of the boat is 15 km/h. - The speed of the river current is 1 km/h.

We need to find: 1. The speed of the boat when traveling with the current. 2. The speed of the boat when traveling against the current. 3. The difference in the length of the path traveled by the boat with the current in 3 hours compared to the path traveled by the boat against the current in the same time.

Solution

To find the speed of the boat when traveling with the current, we add the speed of the boat and the speed of the current: Speed with the current = Speed of the boat + Speed of the current

To find the speed of the boat when traveling against the current, we subtract the speed of the current from the speed of the boat: Speed against the current = Speed of the boat - Speed of the current

To find the difference in the length of the path traveled by the boat with the current in 3 hours compared to the path traveled by the boat against the current in the same time, we need to calculate the distances traveled in each case. The distance traveled is equal to the speed multiplied by the time: Distance = Speed × Time

Let's calculate the values step by step.

Calculation

1. Speed with the current: - Speed of the boat = 15 km/h - Speed of the current = 1 km/h - Speed with the current = 15 km/h + 1 km/h = 16 km/h

2. Speed against the current: - Speed of the boat = 15 km/h - Speed of the current = 1 km/h - Speed against the current = 15 km/h - 1 km/h = 14 km/h

3. Distance traveled with the current in 3 hours: - Speed with the current = 16 km/h - Time = 3 hours - Distance with the current = Speed with the current × Time = 16 km/h × 3 hours = 48 km

4. Distance traveled against the current in 3 hours: - Speed against the current = 14 km/h - Time = 3 hours - Distance against the current = Speed against the current × Time = 14 km/h × 3 hours = 42 km

5. Difference in the length of the path: - Distance with the current = 48 km - Distance against the current = 42 km - Difference in the length of the path = Distance with the current - Distance against the current = 48 km - 42 km = 6 km

Answer

Therefore, the speed of the boat when traveling with the current is 16 km/h, the speed of the boat when traveling against the current is 14 km/h, and the difference in the length of the path traveled by the boat with the current in 3 hours compared to the path traveled by the boat against the current in the same time is 6 km.