Question

Катер по течению проплыл от А до Б за 3 часа, против течения за 5 часов. За сколько времени плот проплывёт от А до Б. ( плот плывёт только по течению) Пожалуйста, помогите... ( 6 класс)

Answer 1

Обозначим расстояние между А и В через S. тогда скорость против течения будет равна S/5, а по течению S/3.
вычтя из S/3 -S/5=2S/15 мы получим двойную скорость реки
2S/15:2=S/15
отсюда следует, что плот преодолеет расстояние между А и В за 15 часов

Answer 2

Calculating the Time for the Boat to Travel from A to B

To calculate the time it takes for the boat to travel from point A to point B, we can use the formula:

Time = Distance / Speed

Given that the boat travels with the current from A to B in 3 hours and against the current from B to A in 5 hours, we can calculate the time it takes for the boat to travel from A to B.

1. Calculating the Speed of the Boat: - Let's assume the speed of the boat in still water is represented by x and the speed of the current is represented by y.

2. Calculating the Time to Travel from A to B: - When traveling with the current, the effective speed of the boat is (x + y). - When traveling against the current, the effective speed of the boat is (x - y).

3. Using the Given Information: - Given that the boat travels from A to B in 3 hours with the current and in 5 hours against the current, we can set up the following equations: - Distance = (x + y) * 3 (with the current) - Distance = (x - y) * 5 (against the current)

4. Solving for x and y: - By solving these equations, we can find the values of x and y.

Let's solve for the time it takes for the boat to travel from A to B using the given information.

Solution:

Using the given information and the equations mentioned above, we can solve for the time it takes for the boat to travel from A to B.