Question

Відстань між двома пристанями 60 км. Теплохiд проходить цю відстань за течією і проти течії за 5,5 години. Знайдіть власну швидкість теплоходу і швидкість течії, якщо одна з них більше за іншу на 20 км/год.​

Answer 1

Ответ:

х-скорость теплохода, км/ч.

у - скорость течения реки, км/ч.

Система уравнений:

2(x+y)=60 12

3(x-y)=60 |3

x+y=30; y=30-x

x-y=20; y=x-20

30-x=x-20

x+x=30+20

x=50/2=25 км/ч скорость теплохода.

y=30-25=5 км/ч скорость течения реки.

Answer 2

Calculating the Speed of the Boat and the Speed of the Current

To find the speed of the boat and the speed of the current, we can use the following formula:

Speed of the boat in still water (B) = (D + U) / 2 Speed of the current (U) = (B - D) / 2

Where: - B = speed of the boat in still water - U = speed of the current - D = distance between the two docks

Given: - Distance (D) = 60 km - Time taken downstream and upstream = 5.5 hours - Difference in speed between the boat and the current = 20 km/h

Calculating the Speed of the Boat

Let's first calculate the speed of the boat in still water using the formula:

Speed of the boat in still water (B) = (D + U) / 2

Substitute the given values: B = (60 + U) / 2

Calculating the Speed of the Current

Now, we can calculate the speed of the current using the formula:

Speed of the current (U) = (B - D) / 2

Substitute the value of B from the previous equation: U = (B - 60) / 2

Solving for the Speed of the Boat and the Speed of the Current

We have two equations: 1. B = (60 + U) / 2 2. U = (B - 60) / 2

By solving these equations simultaneously, we can find the values of B and U.

Let's proceed with the calculations.