Question

Очень срочно, отдам все баллы Скорость движения лодки относительно воды в 2 раза больше скорости течения реки.Во сколько раз больше времени занимает поездка на лодке между двумя пунктами противтечения, чем по течению? Ответ округлите до десятых..​

Answer 1

Пусть

v - это скорость лодки

v/2 - это скорость течения

v₁=v+v/2=3v/2 ( по течению )

v₂=v-v/2=v/2 ( против течения )

3v/2 : v/2= 3

Ответ: в 3 раза.

Answer 2

Calculation of Time Difference for Boat Trip

To calculate the time difference for a boat trip between two points, one against the current and one with the current, we need to consider the relative speeds of the boat and the river current.

Given that the speed of the boat relative to the water is twice the speed of the river current, we can represent the boat's speed as 2x and the river current's speed as x.

Let's assume that the distance between the two points is d.

When the boat is traveling with the current, its effective speed is the sum of the boat's speed and the river current's speed, which is 2x + x = 3x.

The time it takes to travel the distance d with the current is given by the formula:

Time with current = distance / speed = d / (3x)

When the boat is traveling against the current, its effective speed is the difference between the boat's speed and the river current's speed, which is 2x - x = x.

The time it takes to travel the distance d against the current is given by the formula:

Time against current = distance / speed = d / x

To find the time difference between the two trips, we can calculate the ratio of the time against the current to the time with the current:

Time difference = (d / x) / (d / (3x)) = (d / x) * (3x / d) = 3

Therefore, the time it takes for the boat trip against the current is 3 times longer than the time it takes for the boat trip with the current.

Please note that this calculation assumes a constant speed for both the boat and the river current, and it does not take into account other factors such as wind or obstacles in the river.