Question

Катер прошел 27 км по течению реки и 42 против течения,затратив на путь по течению на 1 час меньше ,чем против течения.Какова скорость катера против течения,если скорость течения 3 км/ч

Answer 1

""""""""""""""""""""""""""""""""""""""""""

Answer 2

Calculation of the Boat's Speed Against the Current

To calculate the speed of the boat against the current, we can use the formula:

Speed of the boat against the current = Distance / Time

Given that the boat traveled 27 km with the current and 42 km against the current, and it took 1 hour less to travel with the current compared to against the current, we can set up the following equations:

27 / (x + 3) = 42 / (x - 3 - 1)

Where: - x is the speed of the boat in still water (without any current) - 3 km/h is the speed of the current

Simplifying the equation, we get:

27 / (x + 3) = 42 / (x - 4)

To solve for x, we can cross-multiply and solve the resulting equation.

Let's calculate the speed of the boat against the current.