Question

Моторная лодка двигаясь против течени реки за 1.2ч прошла 7.8км. Какой путь пройдёт эта лодка за 6ч по течению реки,если скорость течения 1.7км/ч?

Answer 1

Удачи! Обращайтесь! ) )

Answer 2

Problem Analysis

To solve this problem, we need to determine the distance the boat will travel in 6 hours while moving with the current of the river. We are given that the boat traveled 7.8 km in 1.2 hours against the current, and the speed of the current is 1.7 km/h.

Solution

To find the distance the boat will travel in 6 hours with the current, we need to consider the combined speed of the boat and the current.

Let's denote the speed of the boat as B and the speed of the current as C.

When the boat is moving against the current, its effective speed is the difference between the boat's speed and the current's speed: B - C.

Given that the boat traveled 7.8 km in 1.2 hours against the current, we can calculate the boat's speed as follows:

B - C = 7.8 km / 1.2 h

Now, we can substitute the given values into the equation:

B - 1.7 km/h = 7.8 km / 1.2 h

Simplifying the equation, we have:

B - 1.7 = 6.5

Solving for B, we find:

B = 6.5 + 1.7 = 8.2 km/h

So, the speed of the boat is 8.2 km/h.

Now, we can calculate the distance the boat will travel in 6 hours with the current. The effective speed of the boat when moving with the current is the sum of the boat's speed and the current's speed: B + C.

The distance the boat will travel in 6 hours can be calculated as:

Distance = Speed × Time

Distance = (B + C) × 6

Substituting the values, we have:

Distance = (8.2 km/h + 1.7 km/h) × 6 h

Simplifying the equation, we find:

Distance = 9.9 km/h × 6 h

Distance = 59.4 km

Therefore, the boat will travel a distance of 59.4 km in 6 hours with the current of the river.

Answer

The boat will travel a distance of 59.4 km in 6 hours with the current of the river, given that the boat's speed against the current is 7.8 km in 1.2 hours and the speed of the current is 1.7 km/h.