Question

От пристани (1) , к пристани (2) - вышла моторная лодка со скоростью 12 км/ч. Через 1.5 часа В том же направлении отправился теплоход со скоростью 24 км/ч. Определите расстояние между пристани (1) и пристани (2) , если теплоход пришёл к пристани (2) на одни час раньше лодки.​

Answer 1

Ответ:

Для моторной лодки:

Скорость (V_лодка) = 12 км/ч

Время (t_лодка) = 1.5 часа

Для теплохода:

Скорость (V_теплоход) = 24 км/ч

Время (t_теплоход) = t_лодка - 1 час (так как теплоход пришел к пристани (2) на 1 час раньше лодки).
S = V_лодка * t_лодка
S = 12 км/ч * 1.5 часа
S=18 км-для лодки
Для теплохода:
S = 24 км/ч * (t_лодка - 1 час)
18 км = 24 км/ч * (t_лодка - 1 час)
t_лодки-?
t_лодка - 1 час = 18 км / 24 км/ч =>t_лодка = 1.75 часа
Найдем S
S=12 км/ч * 1.75 часа
S=21 км
Ответ:Расстояние между пристанью (1) и пристанью (2) составляет 21 километр.

Объяснение:

Answer 2

Problem Analysis

We are given the following information: - A motorboat travels from dock (1) to dock (2) at a speed of 12 km/h. - After 1.5 hours, a steamboat departs from dock (1) to dock (2) at a speed of 24 km/h. - The steamboat arrives at dock (2) one hour earlier than the motorboat.

We need to determine the distance between dock (1) and dock (2).

Solution

Let's denote the distance between dock (1) and dock (2) as d.

We can start by calculating the time it takes for the motorboat to travel from dock (1) to dock (2). We can use the formula time = distance / speed. In this case, the speed is 12 km/h and the time is 1.5 hours. Therefore, the distance traveled by the motorboat is 12 * 1.5 = 18 km.

Next, let's calculate the time it takes for the steamboat to travel from dock (1) to dock (2). The speed of the steamboat is 24 km/h and it arrives one hour earlier than the motorboat. Therefore, the time taken by the steamboat is 1.5 - 1 = 0.5 hours.

Now, we can use the formula time = distance / speed to calculate the distance traveled by the steamboat. The speed is 24 km/h and the time is 0.5 hours. Therefore, the distance traveled by the steamboat is 24 * 0.5 = 12 km.

Since both the motorboat and the steamboat traveled the same distance between dock (1) and dock (2), we can conclude that the distance between the two docks is 18 km.

Answer

The distance between dock (1) and dock (2) is 18 km.