Question

Лодка шла 3 часа против течения реки и 2 часа по ткчениб реки пройдя за все время 37 километров скорось течения реки 3 км/ч найдите собственую скорость лодки?

Answer 1

3(х-3)+2(х+3)=37
5х-3=37
5х=40
х=8
Ответ : 8 км/ч

Answer 2

Calculating the Boat's Speed

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

Boat's speed = (Total distance traveled) / (Total time taken)

In this case, the boat traveled for 3 hours against the river's current and 2 hours with the river's current, covering a total distance of 37 kilometers. The speed of the river's current is 3 km/h.

Calculating the Boat's Speed Against the Current

First, let's calculate the distance traveled by the boat against the current: Distance = Speed × Time Distance = Boat's speed - River's speed (as the boat is going against the current)

So, the distance traveled against the current is: Distance against current = (Boat's speed - River's speed) × Time Distance against current = (Boat's speed - 3) × 3

Calculating the Boat's Speed With the Current

Next, let's calculate the distance traveled by the boat with the current: Distance = Speed × Time Distance = Boat's speed + River's speed (as the boat is going with the current)

So, the distance traveled with the current is: Distance with current = (Boat's speed + River's speed) × Time Distance with current = (Boat's speed + 3) × 2

Total Distance Traveled

The total distance traveled by the boat is given as 37 kilometers: Total distance = Distance against current + Distance with current 37 = (Boat's speed - 3) × 3 + (Boat's speed + 3) × 2

Solving for Boat's Speed

We can now solve the equation to find the boat's speed. Let's simplify the equation and solve for the boat's speed.