Question

Расстояние между двумя портами катер преодолел за 3 часа, а пароход - за 6 часов. Найдите их скорости, если скорость катера на 16 кч/ч больше, чем скорость парохода.

Answer 1

Ответ:

Скорость парохода равна x, тогда ( x + 16 )

Катер ехал 3 часа, значит 3 * ( х + 16 )

Пароход ехал со скоростью х 5 часов, значит х * 5

Итого:

3(х + 16) = 5х.

3х + 48 = 5х.

5х - 3х = 48.

2х = 48.

х = 48 : 2.

х = 24 (км/ч) - скорость парохода.

Тогда скорость катера равна 24 + 16 = 40 (км/ч).

Ответ: скорость катера равна 40 км/ч, а скорость парохода равна 24 км/ч.

Answer 2

Calculating Speeds of the Boat and the Steamship

To find the speeds of the boat and the steamship, we can use the formula: speed = distance / time

Given that the boat covered the distance in 3 hours and the steamship covered it in 6 hours, and the boat's speed is 16 km/h greater than the steamship's speed, we can set up the following equations:

Let's denote the speed of the steamship as x km/h. Then the speed of the boat would be (x + 16) km/h.

The distance covered by both the boat and the steamship is the same, so we can set up the equation:

x * 6 = (x + 16) * 3

Solving this equation will give us the speed of the steamship and the boat.

Solving for Speeds

Let's solve the equation:

6x = 3(x + 16)

6x = 3x + 48

6x - 3x = 48

3x = 48

x = 16

So, the speed of the steamship is 16 km/h.

The speed of the boat is 16 km/h + 16 km/h = 32 km/h.

Therefore, the speed of the steamship is 16 km/h and the speed of the boat is 32 km/h.