Question

От 1 пристани одновременно в противоположных направлениях вышли два теплохода через 10 часов длина пути между ними составляет 360 километров найти скорость теплохода

Answer 1

360 делать на 10 = х скорость сближения
хделить на 2 = х
всё

Answer 2

Problem Analysis

We are given that two ships leave a port simultaneously in opposite directions. After 10 hours, the distance between them is 360 kilometers. We need to find the speed of each ship.

Solution

Let's assume the speed of the first ship is x km/h and the speed of the second ship is y km/h.

Since the ships are moving in opposite directions, the distance between them is increasing at the rate of their combined speeds. Therefore, the relative speed between the two ships is x + y km/h.

We are given that after 10 hours, the distance between the ships is 360 kilometers. Using the formula distance = speed × time, we can write the equation:

(x + y) × 10 = 360

Simplifying the equation, we have:

10x + 10y = 360

Now, we need to find the values of x and y that satisfy this equation.

To solve this system of linear equations, we can use the method of substitution or elimination. Let's use the method of elimination.

Multiplying the entire equation by 10, we have:

10x + 10y = 360

Simplifying, we get:

x + y = 36

Now, we have two equations:

x + y = 36 (Equation 1)

x + y = 36 (Equation 2)

Since both equations are the same, any value of x and y that satisfies Equation 1 will also satisfy Equation 2.

Let's choose a value for x and solve for y.

Let's assume x = 20 km/h.

Substituting this value into Equation 1, we have:

20 + y = 36

Simplifying, we get:

y = 36 - 20 = 16 km/h

Therefore, the speed of the first ship is 20 km/h and the speed of the second ship is 16 km/h.

Answer

The speed of the first ship is 20 km/h and the speed of the second ship is 16 km/h.