Question

Лодка шла 3 часа против течения реки и 2 часа по течению реки пройдя за все это время 37 километров ,скорость течения реки 3 км/ч найдите собственую скорост лодки

Answer 1

Х (км/ч) - собственная скорость лодки

3(х-3)+2(x+3)=37
3x-9+2x+6=37
5x-3=37
5x=37+3
5x=40
x=8 (км/ч) - собственная скорость лодки
Ответ: 8 км/ч.

Answer 2

Problem Analysis

We are given that a boat traveled for 3 hours against the current of a river and then traveled for 2 hours with the current of the river. The total distance covered during this time is 37 kilometers, and 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 traveling against the current, its effective speed is reduced by the speed of the current. So, the boat's speed against the current is (x - 3) km/h.

When the boat is traveling with the current, its effective speed is increased by the speed of the current. So, the boat's speed with the current is (x + 3) km/h.

We can use the formula distance = speed × time to calculate the distances traveled in each case.

The distance traveled against the current is (x - 3) × 3 km.

The distance traveled with the current is (x + 3) × 2 km.

According to the problem, the total distance covered is 37 kilometers. So, we can set up the equation:

(x - 3) × 3 + (x + 3) × 2 = 37

Simplifying the equation:

3x - 9 + 2x + 6 = 37

5x - 3 = 37

5x = 40

x = 8

Therefore, the speed of the boat is 8 km/h.

Answer

The speed of the boat is 8 km/h.