Question

Катер,двигаясь со скоростью 30 км/час прошел расстояние между двумя причалами за 4 часа.На путь в обратном направлении он потратил на 1 час больше.С какой скоростью двигался катер в обратном направлении?Помогите решить задачу.

Answer 1

1)30*4=120(км)весь путь
2)4+1=5(ч) обратный путь
3)120\5=24(км\ч) скорость на обратном пути

Answer 2

Problem Analysis

We are given that a boat traveled a certain distance between two docks at a speed of 30 km/h and took 4 hours to complete the journey. On the return trip, the boat took 1 hour longer. We need to determine the speed at which the boat traveled in the opposite direction.

Solution

Let's assume the distance between the two docks is d kilometers.

On the forward journey, the boat traveled at a speed of 30 km/h for 4 hours, so the distance covered is given by:

Distance = Speed × Time

d = 30 km/h × 4 hours

On the return journey, the boat took 1 hour longer, so the time taken is 4 + 1 = 5 hours. We need to find the speed at which the boat traveled in the opposite direction. Let's assume this speed is x km/h.

On the return journey, the distance covered is again d kilometers, but the time taken is 5 hours. Therefore, we have:

Distance = Speed × Time

d = x km/h × 5 hours

Now we have two equations:

1. d = 30 × 4 2. d = x × 5

We can solve these equations to find the value of x, which represents the speed of the boat in the opposite direction.

Solving the Equations

Let's solve the equations to find the value of x.

From equation 1, we have:

d = 30 × 4

Simplifying, we get:

d = 120

Now, substituting this value of d into equation 2, we have:

120 = x × 5

Simplifying, we get:

x = 120 / 5

x = 24

Therefore, the speed at which the boat traveled in the opposite direction is 24 km/h.

Answer

The boat traveled at a speed of 24 km/h in the opposite direction.

Explanation

The boat traveled a certain distance between two docks at a speed of 30 km/h and took 4 hours to complete the journey. On the return trip, the boat took 1 hour longer. To find the speed at which the boat traveled in the opposite direction, we can set up two equations based on the distance and time traveled. By solving these equations, we find that the boat traveled at a speed of 24 km/h in the opposite direction