Question

4. Решите задачу Одновременно от двух пристаней навстречу друг другу отошли две моторные лодки с одинаковыми скоростями. Через 1 час они встретились. Лодка, которая плыла по течению, прошла на 6 км больше, чем другая лодка, Вычисли скорость течения реки. ​

Answer 1

Объяснение:

Пусть х км/ч—скорость течения реки,

а у км/ч—скорость лодок

составляем уравнение

a скорость течения

1(х+а)-1(х-а)=6

х+а-х+а=6

2а=6|:2

а=3(км/ч) —скорость реки

ответ:3 км/ч скорость течения реки

Answer 2

Problem Analysis

We have two motorboats that start from two different piers and move towards each other. After one hour, they meet. One of the boats, which is moving with the current, has traveled 6 km more than the other boat. We need to calculate the speed of the river current.

Solution

Let's assume the speed of the motorboats is x km/h and the speed of the river current is y km/h.

Since the boats are moving towards each other, their combined speed is the sum of their individual speeds. Therefore, the relative speed of the boats is 2x km/h.

We are given that one of the boats, which is moving with the current, has traveled 6 km more than the other boat. This means that the boat moving with the current has traveled a distance of 6 km + x km in one hour, while the other boat has traveled a distance of x km in one hour.

According to the formula distance = speed × time, we can write the following equations:

For the boat moving with the current: 6 km + x km = (x km/h + y km/h) × 1 h

For the other boat: x km = (x km/h - y km/h) × 1 h

Simplifying these equations, we get: 6 + x = x + y x = x - y

Now, we can solve these equations to find the values of x and y.

Calculation

Let's solve the equations to find the values of x and y.

From the equation 6 + x = x + y, we can cancel out the x terms: 6 = y

From the equation x = x - y, we can substitute the value of y: x = x - 6

Simplifying this equation, we get: 6 = 0

This equation is not possible to solve because it leads to a contradiction. It means that there is no valid solution for the given problem.

Conclusion

Based on the given information, it is not possible to calculate the speed of the river current. The problem seems to have contradictory information or missing details.