Question

Решите задачу: Катер шёл по течению 4часа, а против течения 3часа. Собственная скорость катера 40,4 км/ч. Скорость течения реки 2 км/ч.Какой путь прошёл катер?

Answer 1

1)40,4+2=42,4(км/ч)-скорость по течению;
2)42,4×4=169,6(км)-прошёл катер за 4 часа по течению;
3)40,4-2=38,4(км/ч)- скорость против течения;
4)38,4×3=115,2(км)-прошёл катер за 3 часа против течения;
5)169,6+115,2=284,8(км)-прошёл катер всего.
Ответ: 284,8 км.

УДАЧИ!!!)))

Answer 2

Problem Analysis

To solve this problem, we need to calculate the distance traveled by the boat. We are given the following information: - The boat traveled downstream for 4 hours. - The boat traveled upstream for 3 hours. - The boat's speed is 40.4 km/h. - The speed of the river current is 2 km/h.

Solution

To find the distance traveled by the boat, we can use the formula:

Distance = Speed x Time

Let's calculate the distance traveled downstream and upstream separately.

Downstream Distance

When the boat is traveling downstream, its effective speed is the sum of its own speed and the speed of the river current. So the speed of the boat downstream is:

Speed downstream = Boat's speed + Speed of the river current

Substituting the given values:

Speed downstream = 40.4 km/h + 2 km/h = 42.4 km/h

Now, we can calculate the distance traveled downstream:

Distance downstream = Speed downstream x Time downstream

Substituting the given values:

Distance downstream = 42.4 km/h x 4 hours

Calculating the result:

Distance downstream = 169.6 km

Upstream Distance

When the boat is traveling upstream, its effective speed is the difference between its own speed and the speed of the river current. So the speed of the boat upstream is:

Speed upstream = Boat's speed - Speed of the river current

Substituting the given values:

Speed upstream = 40.4 km/h - 2 km/h = 38.4 km/h

Now, we can calculate the distance traveled upstream:

Distance upstream = Speed upstream x Time upstream

Substituting the given values:

Distance upstream = 38.4 km/h x 3 hours

Calculating the result:

Distance upstream = 115.2 km

Total Distance Traveled

To find the total distance traveled by the boat, we can add the distances traveled downstream and upstream:

Total distance = Distance downstream + Distance upstream

Substituting the calculated values:

Total distance = 169.6 km + 115.2 km

Calculating the result:

Total distance = 284.8 km

Therefore, the boat traveled a total distance of 284.8 km.

Answer

The boat traveled a total distance of 284.8 km.