Question

Два катера движутся навстречу друг другу. Сейчас между ними 11 км. Скорость одного из них составляет 3 / 8 ​​ скорости другого. Найдите скорость каждого катера, если известно, что они встретятся через 1/6 часа ​ ​ ​ ​​

Answer 1

1) 11 км : 1/6 ч = 66 км/ч скорость сближения катеров
2) 1 + 3/8 = 8/8 + 3/8 = 11/8 частей в 66 км/ч
3) 66 : 11/8 = 66 * 8/11 = 6 * 8 = 48 км/ч скорость одного катера
4) 48 * 3/8 = 18 км/ч скорость второго

Answer 2

Problem Analysis

We have two boats moving towards each other. The distance between them is 11 km. The speed of one boat is 3/8 times the speed of the other boat. We need to find the speed of each boat given that they will meet in 1/6 hour.

Solution

Let's assume the speed of one boat is x km/h and the speed of the other boat is (3/8)x km/h.

We know that the distance traveled by each boat is equal to its speed multiplied by the time taken. Since they meet after 1/6 hour, the distance traveled by each boat can be calculated as follows:

- Distance traveled by the first boat = x * (1/6) km - Distance traveled by the second boat = (3/8)x * (1/6) km

Since the total distance between the boats is 11 km, we can set up the following equation:

x * (1/6) + (3/8)x * (1/6) = 11

Simplifying the equation:

x/6 + (3/8)x/6 = 11

Combining the fractions:

(8x + 3x)/(8 * 6) = 11

Simplifying further:

11x/48 = 11

Canceling out the 11s:

x/48 = 1

Multiplying both sides by 48:

x = 48

So, the speed of the first boat is 48 km/h.

The speed of the second boat can be calculated as (3/8) * 48 = 18 km/h.

Therefore, the speed of the first boat is 48 km/h and the speed of the second boat is 18 km/h.

Answer

The speed of the first boat is 48 km/h and the speed of the second boat is 18 km/h.