Question

Собака заметила зайца в 150 саженях от себя.Заяц за 2 минуты пробегает 500 саженей,а собака за 5 минут 1300 саженей.За какое время она догонит зайца?

Answer 1

V=S/T скорость = растаяние / время
V заяц= 500 / 2 = 250 саженей в минута
V собак= 1300 / 5 = 250 cаженей минута
V собак - V заяц = 10 cаженей минута
T= 150 / 10 = 15 минут (если все нормально по прямой и собак не устанет) 

Answer 2

Problem Analysis

We are given that a dog notices a hare at a distance of 150 "sazhen" (a unit of measurement) from itself. We are also given that the hare can run 500 sazhen in 2 minutes, while the dog can run 1300 sazhen in 5 minutes. We need to determine how long it will take for the dog to catch up to the hare.

Solution

To solve this problem, we can calculate the relative speed between the dog and the hare and then use this information to find the time it takes for the dog to catch up to the hare.

Let's start by calculating the relative speed between the dog and the hare. We can do this by finding the difference in their speeds. The hare's speed is given as 500 sazhen in 2 minutes, which can be simplified to 250 sazhen per minute. The dog's speed is given as 1300 sazhen in 5 minutes, which can be simplified to 260 sazhen per minute. Therefore, the relative speed between the dog and the hare is 260 - 250 = 10 sazhen per minute.

Next, we need to determine the distance between the dog and the hare when the dog starts chasing the hare. We are given that the dog notices the hare at a distance of 150 sazhen from itself. Therefore, the initial distance between the dog and the hare is 150 sazhen.

Now, we can use the relative speed and the initial distance to find the time it takes for the dog to catch up to the hare. We can use the formula:

Time = Distance / Speed

In this case, the distance is the initial distance between the dog and the hare, which is 150 sazhen, and the speed is the relative speed between the dog and the hare, which is 10 sazhen per minute. Plugging these values into the formula, we get:

Time = 150 sazhen / 10 sazhen per minute = 15 minutes

Therefore, it will take the dog 15 minutes to catch up to the hare.

Answer

The dog will catch up to the hare in 15 minutes.