Question

Собака увидела зайца на расстоянии 1 км и бросилась за ним. Скорость зайца 30 км/ч, скорость собаки 36 км/ч. Через какое время собака догонит зайца?

Answer 1

Относительная скорость собаки к зайцу равна 36-30 =6 км/час
Для преодоления расстояние в 1 км между зайцем и собакой последней потребуется 1 км:6 км/час= 1/6 часа или 10 мин.

Answer 2

Problem Analysis

We are given that a dog sees a rabbit at a distance of 1 km and starts chasing it. The rabbit's speed is 30 km/h, and the dog's speed is 36 km/h. We need to determine how long it will take for the dog to catch the rabbit.

Solution

To solve this problem, we can use the formula:

Time = Distance / Speed

The distance the dog needs to cover to catch the rabbit is 1 km. We can calculate the time it takes for the dog to catch the rabbit by dividing the distance by the relative speed of the dog and the rabbit.

Let's calculate the time it takes for the dog to catch the rabbit.

Calculation

The relative speed of the dog and the rabbit is the difference between their speeds:

Relative Speed = Dog's Speed - Rabbit's Speed

Substituting the given values:

Relative Speed = 36 km/h - 30 km/h = 6 km/h

Now, we can calculate the time it takes for the dog to catch the rabbit:

Time = Distance / Relative Speed

Substituting the given distance and relative speed:

Time = 1 km / 6 km/h

Simplifying the expression:

Time = 1/6 hours

Converting hours to minutes:

Time = (1/6) * 60 minutes

Simplifying the expression:

Time = 10 minutes

Answer

The dog will catch the rabbit in 10 minutes.

Explanation

The dog's speed is 36 km/h, and the rabbit's speed is 30 km/h. The relative speed of the dog and the rabbit is 6 km/h. Since the dog needs to cover a distance of 1 km to catch the rabbit, it will take the dog 10 minutes to catch the rabbit at its relative speed of 6 km/h.