Question

Растояния от пристани A до пристани B катер проплыл за 6 часов, а от пристани B до пристани Aза 7часов. скорость течения 2 километра в час . найдите собственую скорость катера.

Answer 1

7(x-2)=6(x+2)
7x-14=6x+12
7x-6x=12+14
x=26км/ч собственная скорость катера

Answer 2

Calculation of the Boat's Speed

To find the boat's speed, we need to consider the distances traveled and the time taken in each direction, as well as the speed of the current.

Let's denote the boat's speed as x (in km/h) and the speed of the current as 2 km/h.

From the given information, we know that the boat traveled from port A to port B in 6 hours and from port B to port A in 7 hours.

To calculate the boat's speed, we can use the formula:

Speed = Distance / Time

Let's calculate the distances traveled in each direction:

- Distance from port A to port B: 6x (since the boat traveled for 6 hours at speed x). - Distance from port B to port A: 7x (since the boat traveled for 7 hours at speed x).

Now, let's calculate the total distance traveled:

- Total distance = Distance from A to B + Distance from B to A - Total distance = 6x + 7x = 13x

Since the boat traveled for a total of 13x km, and the total time taken was 13 hours (6 hours from A to B + 7 hours from B to A), we can calculate the boat's speed as follows:

x = Total distance / Total time = 13x / 13 = x

Therefore, the boat's speed is x km/h.

Conclusion

Based on the given information, the boat's speed is x km/h. However, we cannot determine the exact value of the boat's speed without additional information or equations.