Question

Меч-рыба плывёт против течения и преодолевает расстояние от точки А до точки В за 1 час. Двигаясь в обратном направлении, это же расстояние она проплывает в два раза быстрее. Во сколько раз скорость рыбы больше скорости течения воды? Запиши ответ числом​

Answer 1

Пошаговое объяснение:

в 0.5 раза .........,......

Answer 2

Ответ:

Скорость рыбы больше скорости течения воды в 3 раза.

Пошаговое объяснение:

t(против течения) = 1 час

t(по течению) = 0.5 часа

U(против течения) = U(рыбы) - U(течения)

U(по течению) = U(рыбы) + U(течения)

S = U*t

S1 = (U(рыбы) - U(течения))*1 = U(рыбы) - U(течения)

S2 = (U(рыбы) + U(течения))*0.5 = 0.5U(рыбы) + 0.5U(течения)

Расстояние одинаковое, поэтому:

U(рыбы) - U(течения) = 0.5U(рыбы) + 0.5U(течения)

U(рыбы) - 0.5U(рыбы) = 0.5U(течения) + U(течения)

0.5U(рыбы) = 1.5U(течения)

U(рыбы) = 3U(течения).

Скорость рыбы больше скорости течения воды в 3 раза.

Answer 3

Problem Analysis

We are given that a fish swims against the current and covers a distance from point A to point B in 1 hour. When the fish swims in the opposite direction, it covers the same distance in half the time. We need to determine the ratio of the fish's speed to the speed of the current.

Solution

Let's assume the speed of the fish is F and the speed of the current is C.

When the fish swims against the current, its effective speed is the difference between its speed and the speed of the current: F - C. In this case, the fish covers the distance from point A to point B in 1 hour.

When the fish swims with the current, its effective speed is the sum of its speed and the speed of the current: F + C. In this case, the fish covers the same distance in half the time, which is 0.5 hours.

We can set up the following equation based on the given information:

Distance = Speed × Time

For the fish swimming against the current: Distance = (F - C) × 1

For the fish swimming with the current: Distance = (F + C) × 0.5

Since the distance is the same in both cases, we can equate the two equations:

(F - C) × 1 = (F + C) × 0.5

Simplifying the equation:

F - C = 0.5F + 0.5C

Moving the terms involving F to one side and the terms involving C to the other side:

F - 0.5F = 0.5C + C

Simplifying further:

0.5F = 1.5C

Dividing both sides by C:

0.5F/C = 1.5

Therefore, the ratio of the fish's speed to the speed of the current is 1.5.

Answer

The fish's speed is 1.5 times greater than the speed of the current.