Question

Собака усмотрела зайца 150 саженях от себя. заяц пробегает за 2 минуты 500 сажений, а собака - за 5 мин. 1300 сажений. За какое время собака догонит зайца? помогите пожалуйста!

Answer 1

За одну минуту заяц пробегает 250 саженей, а собака 260 саженей. Следовательно, за одну минуту расстояние между собакой и зайцем уменьшится на 10 саженей. Поскольку между собакой и зайцем, когда собака увидала зайца, было 150 саженей, то - (наведите курсор) 
собака догонит зайца через 150:10=15 минут 

Answer 2

Calculating the Time for the Dog to Catch the Hare

To calculate the time it will take for the dog to catch the hare, we can use the information provided in the question and the given distances covered by each animal.

Given: - The hare runs 500 sazhen in 2 minutes. - The dog runs 1300 sazhen in 5 minutes. - The initial distance between the dog and the hare is 150 sazhen.

To find out how long it will take for the dog to catch the hare, we can use the concept of relative speed.

Relative Speed and Time Calculation

The relative speed of the dog catching up to the hare is the difference between their speeds. The relative speed is calculated as the sum of their speeds when they are moving in the same direction.

The relative speed of the dog catching up to the hare is: Relative Speed = Dog's Speed - Hare's Speed

Using the given information: - The hare's speed = 500 sazhen / 2 minutes = 250 sazhen/minute - The dog's speed = 1300 sazhen / 5 minutes = 260 sazhen/minute

Therefore, the relative speed of the dog catching up to the hare is: Relative Speed = 260 sazhen/minute - 250 sazhen/minute = 10 sazhen/minute

Now, to find the time it will take for the dog to catch the hare, we can use the formula: Time = Distance / Relative Speed

Substituting the initial distance of 150 sazhen and the relative speed of 10 sazhen/minute: Time = 150 sazhen / 10 sazhen/minute = 15 minutes

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

I hope this helps! If you have any other questions, feel free to ask!