Question

От пристани А к пристани В отошел катер.ЧЕрез 0,5 ч вслед за ним выехал водный мотоцикл,скорость которого на 6 км/ч больше скорости катера.К пристани В катоер и водный мотоцикл причалили одновременно. Найдите скорости катера и водного мотоцикла,если расстояние между пристанями равно 36 км.Если можно то все респишите пожалуйста!

Answer 1

Х : 36 - х+6 : 36 = 0,5
умножим обе части уравнения на 36,чтобы избавится от дроби
х-х+6= 18
и дальше чо нз

Answer 2

Problem Analysis

We are given the following information: - A boat (kater) departs from port A to port B. - After 0.5 hours, a jet ski (vodnyi mototsikl) departs from port A to port B. - The jet ski's speed is 6 km/h faster than the boat's speed. - The boat and jet ski arrive at port B simultaneously. - The distance between the ports is 36 km.

We need to find the speeds of the boat and the jet ski.

Solution

Let's assume the speed of the boat is x km/h. Since the jet ski's speed is 6 km/h faster, its speed will be x + 6 km/h.

To find the time it takes for both the boat and the jet ski to travel from port A to port B, we can use the formula:

Time = Distance / Speed

For the boat, the time is the same as the time it takes for the jet ski to travel plus 0.5 hours:

Time for boat = Time for jet ski + 0.5

Since the distance is the same for both the boat and the jet ski, we can set up the following equation:

36 / x = 36 / (x + 6) + 0.5

Let's solve this equation to find the value of x.

Calculation

To solve the equation, we can start by multiplying both sides by x(x + 6) to eliminate the denominators:

36(x + 6) = 36x + 0.5x(x + 6)

Expanding and simplifying the equation:

36x + 216 = 36x + 0.5x^2 + 3x

Rearranging the terms:

0.5x^2 + 3x - 216 = 0

Now, we have a quadratic equation. We can solve it by factoring or using the quadratic formula. Let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 0.5, b = 3, and c = -216. Substituting these values into the formula:

x = (-3 ± √(3^2 - 4 * 0.5 * -216)) / (2 * 0.5)

Simplifying further:

x = (-3 ± √(9 + 432)) / 1

x = (-3 ± √441) / 1

Taking the square root:

x = (-3 ± 21) / 1

We have two possible solutions:

1. x = (-3 + 21) / 1 = 18 2. x = (-3 - 21) / 1 = -24

Since speed cannot be negative, we discard the second solution.

Therefore, the speed of the boat is 18 km/h.

The speed of the jet ski is 18 + 6 = 24 km/h.

Answer

The speed of the boat is 18 km/h and the speed of the jet ski is 24 km/h.