Question

пароход өзенде ағыспен жүзсе , 2 сағатта 68,6 км қашықтыққа барады , ал ағысқа қарсы жүзсе, осындай уақыт аралығында одан 10 км кем қашықтықта барады. Пароходтың меншікті жылдамдығын, ағыс жылдамдығын табыңдар ​

Answer 1

Ответ:68,6:2=34,3км/сағ

68,6-10=58,6

58,6:2=29,3км/сағ

(34,3-29,3):2=5

5:2=2,5

34,3-2,5=31,8

Пошаговое объяснение:

Answer 2

Paraphrased Question:

A steamboat travels 68.6 km downstream in 2 hours, but when it travels upstream, it covers the same distance in 10 km less. Find the speed of the steamboat and the speed of the current.

Answer:

Let's assume the speed of the steamboat in still water is x km/h and the speed of the current is y km/h.

When the steamboat travels downstream, it benefits from the speed of the current, so its effective speed is the sum of its own speed and the speed of the current. Therefore, the effective speed downstream is (x + y) km/h.

Given that the steamboat travels 68.6 km downstream in 2 hours, we can set up the equation:

68.6 = (x + y) * 2 [[1]]

When the steamboat travels upstream, it has to overcome the speed of the current, so its effective speed is the difference between its own speed and the speed of the current. Therefore, the effective speed upstream is (x - y) km/h.

Given that the steamboat covers the same distance in 10 km less when traveling upstream, we can set up the equation:

68.6 - 10 = (x - y) * 2 [[2]]

Now we have a system of two equations with two unknowns. We can solve this system to find the values of x and y.

Let's solve the system of equations:

From equation [[1]], we can express x in terms of y:

x = 34.3 - y [[3]]

Substituting equation [[3]] into equation [[2]], we get:

68.6 - 10 = (34.3 - y - y) * 2

Simplifying the equation:

58.6 = (34.3 - 2y) * 2

58.6 = 68.6 - 4y

4y = 68.6 - 58.6

4y = 10

y = 10/4

y = 2.5

Substituting the value of y back into equation [[3]], we can find x:

x = 34.3 - 2.5

x = 31.8

Therefore, the speed of the steamboat in still water is 31.8 km/h and the speed of the current is 2.5 km/h.

Please note that the above solution assumes constant speeds and no other factors affecting the motion of the steamboat.