Question

Решить задачу по матиматике срочно. Скорость моторной лодки в 3 раза больше скорости лодки на веслах. За какое время моторная лодка пройдет 24 км, если на лодке с веслами это расстояние можно пройти за 6ч?Какое расстояние пройдёт моторная лодка за 5ч?

Answer 1

24:6=4км/ч скорость лодки на вёслах

4*3=12км/ч скорость моторки 

24:12=2(ч)24км пройдёт моторная лодка

 12*5=60(км)моторная лодка пройдет за 5 часов

Answer 2

Problem Statement

We have two boats: one is a motorboat and the other is a rowing boat. The speed of the motorboat is three times faster than the speed of the rowing boat. We know that the rowing boat can cover a distance of 24 km in 6 hours. We need to find out how long it will take for the motorboat to cover the same distance, and also determine the distance the motorboat will cover in 5 hours.

Solution

Let's start by finding the speed of the rowing boat. We know that the rowing boat can cover a distance of 24 km in 6 hours. Therefore, the speed of the rowing boat can be calculated by dividing the distance by the time:

Speed of rowing boat = Distance / Time = 24 km / 6 hours = 4 km/h

Since the speed of the motorboat is three times faster than the speed of the rowing boat, we can calculate the speed of the motorboat:

Speed of motorboat = 3 * Speed of rowing boat = 3 * 4 km/h = 12 km/h

Now, let's find out how long it will take for the motorboat to cover a distance of 24 km. We can use the formula:

Time = Distance / Speed

Time = 24 km / 12 km/h = 2 hours

Therefore, the motorboat will cover a distance of 24 km in 2 hours.

Next, let's determine the distance the motorboat will cover in 5 hours. Again, we can use the formula:

Distance = Speed * Time

Distance = 12 km/h * 5 hours = 60 km

Therefore, the motorboat will cover a distance of 60 km in 5 hours.

To summarize:

Task Solution

To solve this problem, we can use the concept of relative speed. Let's start by calculating the speed of the rowing boat and the speed of the motorboat.

Given: - Speed of the motorboat is 3 times the speed of the rowing boat. - The rowing boat can cover a distance of 24 km in 6 hours.

First, we need to find the speed of the rowing boat. We can use the formula: $$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$$

Using the given information, we can calculate the speed of the rowing boat: $$\text{Speed of rowing boat} = \frac{24 \text{ km}}{6 \text{ hours}} = 4 \text{ km/h}$$

Now, we know the speed of the rowing boat. We can calculate the speed of the motorboat: $$\text{Speed of motorboat} = 3 \times \text{Speed of rowing boat} = 3 \times 4 \text{ km/h} = 12 \text{ km/h}$$

Time to Cover 24 km

To find out how long the motorboat will take to cover a distance of 24 km, we can use the formula: $$\text{Time} = \frac{\text{Distance}}{\text{Speed}}$$

Substituting the values, we get: $$\text{Time} = \frac{24 \text{ km}}{12 \text{ km/h}} = 2 \text{ hours}$$

So, the motorboat will take 2 hours to cover a distance of 24 km.

Distance Covered in 5 Hours

To find out how far the motorboat will travel in 5 hours, we can use the formula: $$\text{Distance} = \text{Speed} \times \text{Time}$$

Substituting the values, we get: $$\text{Distance} = 12 \text{ km/h} \times 5 \text{ hours} = 60 \text{ km}$$

Therefore, the motorboat will cover a distance of 60 km in 5 hours.