Question

Пожалуйста помогите решить задачу! Расстояние между населёнными пунктами 24 км. Одновременно навстречу друг другу катер со скоростью 50 км/ч и теплоход со скоростью 30 км/ч. Теплоход вышел на 3 ч раньше катера. Через сколько часов после выхода катера произойдёт встреча судов? (так и написано судов)

Answer 1

3, 4км\ч + 4, 6км\ч = 8км\ч - скорость сближения.
24 : 8 = через 3ч они встретятся.
3, 4 * 3 =10,2км - пройдёт 1 пешеход
4, 6 * 3 = 13,8км - пройдёт 2 пешеход.

Answer 2

Problem Analysis

To solve this problem, we need to find the time it takes for the boat and the ship to meet. We are given that the distance between the two locations is 24 km, the boat's speed is 50 km/h, and the ship's speed is 30 km/h. The ship started 3 hours earlier than the boat. We need to determine how many hours after the boat started will the meeting occur.

Solution

Let's break down the problem step by step:

1. We know that the distance between the two locations is 24 km. 2. The boat is traveling towards the ship at a speed of 50 km/h, and the ship is traveling towards the boat at a speed of 30 km/h. 3. The ship started 3 hours earlier than the boat.

To find the time it takes for the boat and the ship to meet, we can set up the following equation:

Distance traveled by the boat = Distance traveled by the ship

Let's calculate the distances traveled by the boat and the ship:

Distance traveled by the boat = Boat's speed * Time taken by the boat

Distance traveled by the ship = Ship's speed * (Time taken by the boat + 3)

Setting these two distances equal to each other, we get:

Boat's speed * Time taken by the boat = Ship's speed * (Time taken by the boat + 3)

Now, let's solve this equation to find the time taken by the boat:

50 * Time taken by the boat = 30 * (Time taken by the boat + 3)

Simplifying the equation:

50 * Time taken by the boat = 30 * Time taken by the boat + 90

20 * Time taken by the boat = 90

Time taken by the boat = 90 / 20

Time taken by the boat = 4.5 hours

Therefore, the boat and the ship will meet 4.5 hours after the boat started.

Answer

The boat and the ship will meet 4.5 hours after the boat started.