Question

Катер, имеющий собственную скорость 15 км/ч, проплыл 2 ч по течению реки и 3 ч против течения. Какое расстояние проплыл катер за всё время, если скорость течения реки 2 км/ч ?решите пожалуйста.P.s. если есть возможно, то пожалуйста объясните мне как решать такие задачи и похожие. я по задачам полный ноль( ибо у меня уже две 2 по ним :(

Answer 1

Катер плыл два час по течению то есть со скор 15+2=17 км в час и против течения 3 часа со скор 15-2=13 км в час вычисляем путь
17*2 + 13*3=73 км пройденный путь

Answer 2

Problem Analysis

To solve this problem, we need to calculate the total distance traveled by the boat. The boat travels at a speed of 15 km/h and spends 2 hours traveling with the current and 3 hours traveling against the current. The speed of the current is given as 2 km/h.

Solution

To find the total distance traveled by the boat, we need to calculate the distance traveled with the current and the distance traveled against the current, and then add them together.

Let's start by calculating the distance traveled with the current. We can use the formula:

Distance = Speed × Time

The speed of the boat with the current is the sum of the boat's speed and the speed of the current, which is 15 km/h + 2 km/h = 17 km/h. The time spent traveling with the current is 2 hours.

Substituting these values into the formula, we get:

Distance with current = 17 km/h × 2 hours = 34 km

Next, let's calculate the distance traveled against the current. The speed of the boat against the current is the difference between the boat's speed and the speed of the current, which is 15 km/h - 2 km/h = 13 km/h. The time spent traveling against the current is 3 hours.

Substituting these values into the formula, we get:

Distance against current = 13 km/h × 3 hours = 39 km

Finally, we can find the total distance traveled by adding the distance traveled with the current and the distance traveled against the current:

Total distance = Distance with current + Distance against current = 34 km + 39 km = 73 km

Therefore, the boat traveled a total distance of 73 km.

Conclusion

In this problem, we calculated the total distance traveled by a boat that has its own speed of 15 km/h and traveled for 2 hours with the current and 3 hours against the current. The speed of the current was given as 2 km/h. The boat traveled a total distance of 73 km.