Question

Лодка проходит по течению расстояние от А до В за 6 часов. Против течения за 10 часов. Какова скорость течения реки, если скорость лодки в стоячей воде 40 км/ч? Каково расстояние от А до В?

Answer 1

Пусть скорость течения х км/ч
а расстояние от А до В у км

{у/(40+х)=6

{у/(40-х)=10

{у=240+6х
{у=400-10х

240+6х=400-10х
16x=160
x=10 км/ч скорость течения реки
у=240+6х=240+60=300 км - расстояние от А до В

Ответ 10км/ч, 300 км

Answer 2

Calculating River Current Speed and Distance from A to B

To calculate the speed of the river current and the distance from point A to point B, we can use the following information:

- The boat takes 6 hours to travel from A to B with the current. - The boat takes 10 hours to travel from B to A against the current. - The speed of the boat in still water is 40 km/h.

First, let's calculate the speed of the river current using the given information.

The formula to calculate the speed of the river current is: Boat speed with the current = (Distance from A to B) / (Time taken from A to B).

Using this formula, we can calculate the speed of the river current.

The formula to calculate the distance from A to B is: Distance = (Boat speed with the current - Boat speed in still water) * Time taken from B to A.

Let's calculate the speed of the river current and the distance from A to B using the given information.

Calculations:

1. Calculating the Speed of the River Current: - Boat speed with the current = Distance from A to B / Time taken from A to B - Boat speed with the current = Distance from B to A / Time taken from B to A - Speed of the river current = (Boat speed with the current - Boat speed in still water) / 2

Using the given time and boat speed in still water, we can calculate the speed of the river current.

2. Calculating the Distance from A to B: - Distance from A to B = (Boat speed with the current - Boat speed in still water) * Time taken from A to B

Using the boat speed with the current and the time taken from A to B, we can calculate the distance from A to B.

Let's proceed with the calculations.