Question

Собственная скорость катера больше скорости течения реки в 10 раз. Катер за 5 часов против течения реки проплыл 90 км . Найдите собственную скорость катера и скорость течения реки.срочно​

Answer 1

Ответ: скорость катера 20 км/ч, скорость реки 2 км/ч.

Пошаговое объяснение: Возьмём  скорость катера за 10х, а скор. реки за х

Скор. против течения составляет 10х-х=9х

скорость против течения 90:5=18(км/ч)

18 км/ч=9х

х=18:9

х=2 км/ч

2*10=20(км/ч)-скор. катера

Answer 2

Calculating Boat's Speed and River's Current Speed

To find the boat's speed and the river's current speed, we can use the following information:

- The boat's speed is 10 times greater than the river's current speed. - The boat traveled 90 km against the river's current in 5 hours.

Let's denote the boat's speed as B and the river's current speed as R.

Calculating Boat's Speed

We can use the formula: Boat's speed = (Boat's speed + River's current speed)

Given that the boat's speed is 10 times greater than the river's current speed, we can express this as: B = 10R

Calculating Distance Traveled Against the Current

The distance traveled against the current can be calculated using the formula: Distance = Speed × Time

Given that the boat traveled 90 km against the river's current in 5 hours, we can express this as: 90 = (B - R) × 5

Solving for Boat's Speed and River's Current Speed

We can solve the system of equations to find the boat's speed and the river's current speed.

Substituting the value of B from the first equation into the second equation: 90 = (10R - R) × 5

Solving for R: 90 = 9R × 5 90 = 45R R = 90/45 R = 2

Substituting the value of R back into the first equation to find B: B = 10 × 2 B = 20

Conclusion

The boat's speed is 20 km/h and the river's current speed is 2 km/h.