Question

катер прошел по течению реки за 3 часа такое же расстояние какое он проходит за 3часа 36 мин против течения.если скорость течения реки 3км/ч то собственная скорость катера равна?

Answer 1

х км/ч - собственная скорость катера

(х+3) км/ч - скорость по течению

(х-3) км/ч - скорость против течения

(х+3)*3=(х-3)*3,36

0,36х=19,08

х=53(км/ч) - собственная скорость катера

Answer 2

Problem Analysis

We are given that a boat travels a certain distance in 3 hours when going with the current of a river, and the same distance in 3 hours and 36 minutes when going against the current. We are also given that the speed of the river's current is 3 km/h. We need to find the speed of the boat.

Solution

Let's assume the speed of the boat is x km/h.

When the boat is going with the current, its effective speed is the sum of its own speed and the speed of the current. So, the boat's effective speed is (x + 3) km/h.

When the boat is going against the current, its effective speed is the difference between its own speed and the speed of the current. So, the boat's effective speed is (x - 3) km/h.

We are given that the boat travels the same distance in both cases. The time taken to travel a certain distance is equal to the distance divided by the speed. Therefore, we can set up the following equation:

Distance / (x + 3) = Distance / (x - 3)

To solve for x, we can cross-multiply and simplify the equation:

Distance * (x - 3) = Distance * (x + 3)

x * Distance - 3 * Distance = x * Distance + 3 * Distance

x * Distance - x * Distance = 3 * Distance + 3 * Distance

0 = 6 * Distance

Since the distance is not given, we cannot solve