Question

Из двух пунктов реки расстояние между которыми 51 км навстречу друг другу движутся две моторные лодки собственные скорости которых равны скорость течения реки 3 км ч лодка идущая по течению до Истры до встречи прошла, 1,5 а лодка идущая против течения - 2 часа Найдите собственную скорость лодок

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Problem Analysis

We have two motorboats moving towards each other on a river. The distance between them is 51 km. The speed of the river's current is 3 km/h. One boat travels downstream to the meeting point in 1.5 hours, while the other boat travels upstream to the meeting point in 2 hours. We need to find the speed of each boat.

Solution

Let's assume the speed of the first boat (going downstream) is x km/h, and the speed of the second boat (going upstream) is y km/h.

When the first boat travels downstream, it moves with the current, so its effective speed is the sum of its own speed and the speed of the current: (x + 3) km/h.

Similarly, when the second boat travels upstream, it moves against the current, so its effective speed is the difference between its own speed and the speed of the current: (y - 3) km/h.

We can use the formula speed = distance / time to calculate the speeds of the boats.

For the first boat: - Distance = 51 km - Time = 1.5 hours

Using the formula, we have: (x + 3) = 51 / 1.5

For the second boat: - Distance = 51 km - Time = 2 hours

Using the formula, we have: (y - 3) = 51 / 2

Now we can solve these two equations to find the values of x and y.

Calculation

Let's solve the equations:

(x + 3) = 51 / 1.5

Simplifying: x + 3 = 34

x = 34 - 3

x = 31

(y - 3) = 51 / 2

Simplifying: y - 3 = 25.5

y = 25.5 + 3

y = 28.5

Answer

The speed of the first boat (going downstream) is 31 km/h, and the speed of the second boat (going upstream) is 28.5 km/h.

Please let me know if I can help you with anything else.