Question

Катер, имеющий собственную скорость 15 км/ч , проплыл 2 ч по течению реки и 3 ч против течения . Какое расстояние он проплыл за это время , если скорость течения реки - 2 км/ ч

Answer 1

Соответственно Х это Расстояние, Тогда Скорость Против течения Реки= (15-2) км\ч, а по течению Реки (15+2)км\ч. Расстояние Пр.Течения=13х ,а По течению 17х. Т.К расстояние одинаковое то составим ур-е.
  

Answer 2

15*2=30км (проплыл катер по течению)
(15-2)*3=39км (проплыл катер против течения)
30+39=69км
Ответ:Катер проплыл 69км.

Answer 3

Calculation of Distance Traveled

To calculate the distance traveled by the boat, we need to consider the boat's speed and the speed of the river current.

Given: - Boat's speed: 15 km/h - Time spent traveling downstream: 2 hours - Time spent traveling upstream: 3 hours - Speed of the river current: 2 km/h

To calculate the distance traveled downstream, we can use the formula:

Distance = Speed x Time

For the downstream journey, the boat's effective speed is the sum of its own speed and the speed of the river current. So the effective speed is 15 km/h + 2 km/h = 17 km/h.

Using the formula, the distance traveled downstream is:

Distance downstream = (Boat's speed + River current speed) x Time downstream

Distance downstream = (15 km/h + 2 km/h) x 2 hours = 34 km

For the upstream journey, the boat's effective speed is the difference between its own speed and the speed of the river current. So the effective speed is 15 km/h - 2 km/h = 13 km/h.

Using the formula, the distance traveled upstream is:

Distance upstream = (Boat's speed - River current speed) x Time upstream

Distance upstream = (15 km/h - 2 km/h) x 3 hours = 39 km

Therefore, the total distance traveled by the boat is the sum of the distances traveled downstream and upstream:

Total distance = Distance downstream + Distance upstream

Total distance = 34 km + 39 km = 73 km

So, the boat traveled a total distance of 73 km during the given time, considering the speed of the river current.