Question

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

Answer 1

Ответ:

1,6 км/ч-скорость течения реки

Answer 2

Problem Analysis

We have two motorboats that start from two different piers and move towards each other. They have the same speed. After 1 hour, they meet. One of the boats, which is moving with the current, has traveled 6.4 km more than the other boat. We need to calculate the speed of the river's current.

Solution

Let's assume the speed of each boat is v km/h and the speed of the river's current is c km/h.

Since both boats have the same speed, the distance traveled by each boat in 1 hour is v km.

The boat moving against the current will have to cover an additional distance of 6.4 km compared to the boat moving with the current.

Therefore, the distance traveled by the boat moving against the current is v + 6.4 km.

When the two boats meet, the total distance covered by both boats is equal to the sum of their individual distances:

v + (v + 6.4) = 2v + 6.4

Since they meet after 1 hour, the total distance covered by both boats is equal to the sum of their speeds:

1 * (2v + 6.4) = 2v + 6.4

Simplifying the equation:

2v + 6.4 = 2v + 6.4

The equation simplifies to:

6.4 = 6.4

This equation is true for any value of v and c. Therefore, we cannot determine the speed of the river's current based on the given information.

Conclusion

Based on the given information, we cannot determine the speed of the river's current.