Question

Помогити пожалуйста решить задачу. Растояние между двумя катерами- 25 км.Они начали движение по озеру навстречу друг другу.Встретились они через 20 минут. Найдите скорость второго катера (в км/час) если она состовляет 2/3 скорости первого?

Answer 1

Скорость первого - х
скорость второго - 2/3*х
их общая скорость - х+2/3х=5/3*х
5/3*х*20=25
5/3*х=25:20
5/3*х=1,25
х=1,25:5/3
х=0,75
2/3*х=0,75*2/3=0,5
Ответ: скорость первого катера=0,75км/ч
скорость второго катера=0,5км/ч

Answer 2

Problem Analysis

We are given that the distance between two boats is 25 km and they are moving towards each other. They meet after 20 minutes. We need to find the speed of the second boat in km/h if it is 2/3 the speed of the first boat.

Solution

Let's assume the speed of the first boat is x km/h. Since the second boat is moving at 2/3 the speed of the first boat, its speed will be (2/3)x km/h.

We know that speed = distance/time. In this case, the distance between the boats is 25 km and they meet after 20 minutes.

To find the speed of the second boat, we need to convert the time from minutes to hours. There are 60 minutes in an hour, so 20 minutes is equal to 20/60 = 1/3 hour.

Using the formula speed = distance/time, we can calculate the speed of the first boat as x = 25 / (1/3) = 75 km/h.

The speed of the second boat is 2/3 of the speed of the first boat, so the speed of the second boat is (2/3) * 75 = 50 km/h.

Therefore, the speed of the second boat is 50 km/h.

Answer

The speed of the second boat is 50 km/h.