Question

Собственная скорость теплохода в 9 раз больше чем скорость течения реки.Найдите собственную скорость теплохода и скорость течения реки если двигаясь против течения он за 6 ч прошел 96 км

Answer 1

Скорость против течения 96:6=16(км/час).
Пусть х - скорость течения реки, тогда скорость теплохода 9х,
составим уравнение 9х-х=16, 8х=16, х=16:8, х=2,
 9х=9*2=18
Скорость течения реки 2км/час, скорость теплохода 18км/час.

Answer 2

Problem Analysis

We are given that the speed of a boat is 9 times greater than the speed of the river current. We need to find the speed of the boat and the speed of the river current if the boat traveled 96 km against the current in 6 hours.

Solution

Let's assume the speed of the river current is x km/h. According to the given information, the speed of the boat is 9 times greater than the speed of the river current, so the speed of the boat is 9x km/h.

When the boat is moving against the current, the effective speed of the boat is the difference between the boat's speed and the current's speed. Therefore, the effective speed of the boat is 9x - x = 8x km/h.

We are given that the boat traveled 96 km against the current in 6 hours. We can use the formula distance = speed × time to find the speed of the boat.

Substituting the values into the formula, we have:

96 km = (8x km/h) × 6 hours

Simplifying the equation, we get:

96 km = 48x km/h

Dividing both sides of the equation by 48, we find:

x = 2 km/h

Therefore, the speed of the river current is 2 km/h. Since the speed of the boat is 9 times greater than the speed of the river current, the speed of the boat is:

9 × 2 = 18 km/h

So, the speed of the boat is 18 km/h and the speed of the river current is 2 km/h.

Answer

The speed of the boat is 18 km/h and the speed of the river current is 2 km/h.