Question

Теплоход за 7 часов проходит такой же путь как катер за 4 часа.Найдите скорость теплохода если она меньше скорости катера на 24 км/ч. Решите задачу пожалуйста

Answer 1

Пусть скорость теплохода х км/ч. значит скорость катера 24+х км/ч. Расстояние, которое прошел теплоход 7х, а катер (х+24)*4.
Составим и решим уравнение:
7х = 4(х + 24)
7х = 4х + 96
3х = 96
х=32
Ответ: 32 км/ч скорость теплохода 

Answer 2

Problem Analysis

We are given that a boat (teplodkhod) takes 7 hours to travel the same distance that a speedboat (kater) can travel in 4 hours. The speed of the boat is 24 km/h slower than the speed of the speedboat. We need to find the speed of the boat.

Solution

Let's assume the speed of the boat is x km/h. Since the boat takes 7 hours to cover the distance, the distance covered by the boat can be calculated as 7x km. Similarly, the speedboat covers the same distance in 4 hours, so the distance covered by the speedboat can be calculated as 4(x + 24) km.

Since both distances are the same, we can set up the following equation:

7x = 4(x + 24)

Now, let's solve this equation to find the value of x.

Solving the Equation

Expanding the equation, we get:

7x = 4x + 96

Simplifying the equation, we get:

7x - 4x = 96

3x = 96

Dividing both sides of the equation by 3, we get:

x = 32

Answer

The speed of the boat is 32 km/h.

Verification

To verify our answer, let's substitute the value of x back into the equation and check if both sides are equal.

Left-hand side of the equation: 7x = 7(32) = 224 km

Right-hand side of the equation: 4(x + 24) = 4(32 + 24) = 4(56) = 224 km

Both sides are equal, which confirms that our answer is correct.