Question

Скорость катера относительно воды в реке в 5 раз больше скорости течения воды относительно берега. Рассматривая движение катера относительно берега,определите, во сколько раз быстрее катер движется по течению, чем против него Пожалуйста помогите решить задачу у меня не получается!

Answer 1

U - скорость течения
v = 5*u - скорость лодки

по течению скорость  v+u = 6*u
 по течению  скорость v-u = 4*u

6*u/4*u = 1.5

Answer 2

Understanding the Problem

To solve this problem, we need to determine how much faster the boat moves with the current compared to against the current. We are given that the speed of the boat relative to the water in the river is 5 times faster than the speed of the current relative to the shore.

Solution

Let's assume the speed of the current relative to the shore is C and the speed of the boat relative to the water is B. We are given that B = 5C.

To determine the speed of the boat relative to the shore when moving with the current, we add the speed of the current to the speed of the boat relative to the water: B + C.

To determine the speed of the boat relative to the shore when moving against the current, we subtract the speed of the current from the speed of the boat relative to the water: B - C.

Therefore, the boat moves (B + C) times faster with the current compared to against the current.

Calculation

Since we know that B = 5C, we can substitute this value into the formulas above:

- Speed of the boat relative to the shore when moving with the current: B + C = 5C + C = 6C - Speed of the boat relative to the shore when moving against the current: B - C = 5C - C = 4C

Therefore, the boat moves 6C times faster with the current compared to against the current.

Answer

The boat moves 6 times faster with the current compared to against the current.

I hope this helps! Let me know if you have any further questions.