Question

Катер плыл по течению реки 3 ч против течения 6 ч затем плыл по озеру 7 ч какое расстояние проплыл катер за это время если собственная скорость катера 38 км ч и скорость реки 2 км ч

Answer 1

38-2=36 км/ч скорость против течения
36*3= 108 км в одну сторону

38+2=40 км/ч скорость по течению
40*6=240 км в другую сторону

В озере нет течения т.е. скорость по нему остается 38, а значит по озеру он проплыл 38*7=266 км

Итого: 266+108+240 = 614 км проплыл всего

Answer 2

Calculation of the Distance Traveled by the Boat

To calculate the distance traveled by the boat, we need to consider the time spent traveling against the current of the river, the time spent on the lake, and the speed of the boat and the river.

Given information: - Time spent traveling against the current of the river: 3 hours - Time spent traveling with the current of the river: 6 hours - Time spent traveling on the lake: 7 hours - Speed of the boat: 38 km/h - Speed of the river: 2 km/h

To calculate the distance traveled against the current of the river, we can use the formula:

Distance = Speed x Time

For the time spent traveling against the current of the river, the boat's effective speed will be the difference between the boat's speed and the speed of the river. So the effective speed will be 38 km/h - 2 km/h = 36 km/h.

Using this effective speed, we can calculate the distance traveled against the current of the river:

Distance against the current = Effective speed x Time against the current

Distance against the current = 36 km/h x 3 hours

Now, let's calculate the distance traveled with the current of the river. The effective speed will be the sum of the boat's speed and the speed of the river, which is 38 km/h + 2 km/h = 40 km/h.

Using this effective speed, we can calculate the distance traveled with the current of the river:

Distance with the current = Effective speed x Time with the current

Distance with the current = 40 km/h x 6 hours

Finally, let's calculate the distance traveled on the lake. The boat's speed on the lake will be the same as its speed, which is 38 km/h.

Using this speed, we can calculate the distance traveled on the lake:

Distance on the lake = Speed x Time on the lake

Distance on the lake = 38 km/h x 7 hours

To find the total distance traveled by the boat, we need to sum up the distances traveled against the current, with the current, and on the lake:

Total distance = Distance against the current + Distance with the current + Distance on the lake

Now, let's calculate the distances using the given values:

Distance against the current = 36 km/h x 3 hours

Distance with the current = 40 km/h x 6 hours

Distance on the lake = 38 km/h x 7 hours

Total distance = Distance against the current + Distance with the current + Distance on the lake

Please note that the distances calculated here are approximate values based on the given information.