Question

При движении против течения скорость которого 1 км/ч расстояние 119 км теплоход проходит за 7 ч.Какое расстояние за то же время он пройдёт двигаясь по течению ? постарайтесь решить эту задачу не находя скорость теплохода.

Answer 1

119:7=17км/ч скорость против течения
17+1+1=19км/ч скорость по течению
19*7=133 км пройдёт по течению

Answer 2

Problem Analysis

We are given that a boat is moving against the current at a speed of 1 km/h and covers a distance of 119 km in 7 hours. We need to find the distance the boat will cover in the same amount of time when moving with the current.

Solution

To solve this problem, we can use the concept of relative velocity. The speed of the boat with respect to the water is 1 km/h, and the speed of the current is unknown. Let's assume the speed of the current is x km/h.

When the boat is moving against the current, its effective speed is the difference between the boat's speed and the current's speed. So, the effective speed is (1 - x) km/h.

We are given that the boat covers a distance of 119 km in 7 hours when moving against the current. Using the formula distance = speed × time, we can write the equation:

(1 - x) × 7 = 119

Now, we can solve this equation to find the value of x.

Calculation

Let's solve the equation:

(1 - x) × 7 = 119

Expanding the equation:

7 - 7x = 119

Rearranging the equation:

7x = 119 - 7

7x = 112

Dividing both sides by 7:

x = 112 / 7

x = 16

Therefore, the speed of the current is 16 km/h.

Now, we need to find the distance the boat will cover in the same amount of time when moving with the current. The effective speed when moving with the current is the sum of the boat's speed and the current's speed. So, the effective speed is (1 + 16) km/h.

Using the formula distance = speed × time, we can calculate the distance:

distance = (1 + 16) × 7

distance = 17 × 7

distance = 119 km

Therefore, the boat will cover a distance of 119 km in the same amount of time when moving with the current.

Answer

The boat will cover a distance of 119 km in the same amount of time when moving with the current.

Explanation

When the boat is moving against the current, its effective speed is the difference between the boat's speed and the current's speed. In this case, the effective speed is 1 km/h - 16 km/h = -15 km/h. However, the distance covered by the boat is positive, so we can ignore the negative sign. Therefore, the effective speed is 15 km/h.

When the boat is moving with the current, its effective speed is the sum of the boat's speed and the current's speed. In this case, the effective speed is 1 km/h + 16 km/h = 17 km/h. The boat covers a distance of 119 km in 7 hours, so the distance covered in the same amount of time when moving with the current is 17 km/h × 7 hours = 119 km.

Note

Please note that the sources provided do not contain specific information related to this problem. The solution is derived using mathematical principles and equations.