Question

Пліт ппроплив за течією річки 24 км за 8 годин. Моторний човен проплив за течією річки 24 км за 2 години. Який шлях пройде човен проти течії?

Answer 1

24:8=3 скорость течения
24:2=12 скорость лодки по течению
12-6=6 скорость против течения
24:6=4 год против течения

Answer 2

Calculation of Boat's Speed and River's Speed

To determine the distance the boat will travel against the current, we need to calculate the speed of the boat and the speed of the river.

Let's assume the speed of the boat in still water is B and the speed of the river's current is R.

According to the given information: - The boat travels downstream (with the current) for 24 km in 8 hours. - The boat travels upstream (against the current) for 24 km in 2 hours.

Using the formula distance = speed × time, we can set up the following equations:

1. Downstream: 24 = (B + R) × 8 2. Upstream: 24 = (B - R) × 2

We can solve these equations to find the values of B and R.

Solving the Equations

Let's solve the equations to find the values of B and R.

From equation 1, we have: 24 = (B + R) × 8

Simplifying the equation, we get: 3 = B + R

From equation 2, we have: 24 = (B - R) × 2

Simplifying the equation, we get: 12 = B - R

Now, we have a system of equations: 1. 3 = B + R 2. 12 = B - R

We can solve this system of equations using the method of substitution or elimination.

Solving the System of Equations

Let's solve the system of equations using the method of substitution.

From equation 1, we have: 3 = B + R

Solving for B, we get: B = 3 - R

Substituting this value of B into equation 2, we have: 12 = (3 - R) - R

Simplifying the equation, we get: 12 = 3 - 2R

Rearranging the equation, we get: 2R = 3 - 12

Simplifying further, we get: 2R = -9

Dividing both sides of the equation by 2, we get: R = -4.5

Since the speed of the river cannot be negative, we discard this solution.

Therefore, there is no valid solution for the speed of the river. It seems there might be an error in the given information or calculations.

Please double-check the information provided and ensure the values are accurate.