Question

Скорость моторной лодки по течению реки 27 км/ч, против течения - 19 км/ч. Найти скорость течения реки? Скорость моторной лодки по озеру?

Answer 1

Скорость по течению состоит из скорости катера + скорость течения а против скорость котера - скорость течения реки

1) (27-19):2=4 км в ч - скорость течения реки.

2) 27-4 или 19+4 = 23 км в ч - скорость катера.

Скорость течения на озере = 0 тоесть катер будет плыть со своей скоростью - 23 км в ч

Answer 2

(27-19) : 2=4км/ч - скорость реки

27-4=23км/ч - скорость лодки.

 

 

Answer 3

Calculation of River Current Speed and Lake Speed of Motorboat

To find the speed of the river current and the speed of the motorboat on the lake, we can use the given information:

- Speed of the motorboat downstream (with the current) = 27 km/h - Speed of the motorboat upstream (against the current) = 19 km/h

Let's denote the speed of the river current as x km/h and the speed of the motorboat on the lake as y km/h.

To calculate the speed of the river current, we can use the formula:

Speed downstream = Speed of motorboat + Speed of current

Using this formula, we can write the equation:

27 km/h = y km/h + x km/h Similarly, to calculate the speed of the motorboat on the lake, we can use the formula:

Speed upstream = Speed of motorboat - Speed of current

Using this formula, we can write the equation:

19 km/h = y km/h - x km/h Now, we have a system of two equations with two variables. We can solve this system of equations to find the values of x and y.

Solving the System of Equations

To solve the system of equations and we can use the method of substitution or elimination. Let's use the method of elimination:

Adding equations and together, we get:

27 km/h + 19 km/h = (y km/h + x km/h) + (y km/h - x km/h)

Simplifying the equation, we have:

46 km/h = 2y km/h

Dividing both sides of the equation by 2, we find:

y km/h = 23 km/h

Now, we can substitute the value of y back into equation to find the value of x:

27 km/h = 23 km/h + x km/h

Subtracting 23 km/h from both sides of the equation, we get:

4 km/h = x km/h

Therefore, the speed of the river current is 4 km/h and the speed of the motorboat on the lake is 23 km/h.

Summary:

- The speed of the river current is 4 km/h. - The speed of the motorboat on the lake is 23 km/h.

Please note that the calculations provided are based on the given information and assumptions made.