Question

Собака усмотрела в 150 саженях зайца, который пробегает в 2 мин по 500 сажен, а собака в 5 мин-1300сажен. спрашивается в какое время собака догонит зайца

Answer 1

500/2=250 сажень в минуту пробегает заяц
1300/5=260 саж./мин пробегает собака
260-250=10 разница скоростей собаки и зайца (за одну минуту расстояние между собакой и зайцем уменьшится на 10 саженей)
150/10=15 мин. через это время собака догонит зайца

Answer 2

Problem Analysis

We are given the following information: - The dog spots a hare at a distance of 150 sazhens. - The hare runs at a speed of 500 sazhens in 2 minutes. - The dog runs at a speed of 1300 sazhens in 5 minutes.

We need to determine the time it will take for the dog to catch up to the hare.

Solution

To solve this problem, we can set up a proportion based on the speeds of the dog and the hare. The proportion will be:

Dog's speed : Hare's speed = Dog's time : Hare's time

Let's calculate the time it takes for the hare to run 150 sazhens:

Hare's time = (150 sazhens) / (500 sazhens/2 minutes) = 0.6 minutes

Now, we can set up the proportion:

1300 sazhens/5 minutes : 500 sazhens/2 minutes = Dog's time : 0.6 minutes

To solve for Dog's time, we can cross-multiply and solve for Dog's time:

(1300 sazhens/5 minutes) * (0.6 minutes) = (500 sazhens/2 minutes) * Dog's time

260 sazhens = 250 sazhens * Dog's time

Dog's time = 260 sazhens / 250 sazhens = 1.04 minutes

Therefore, the dog will catch up to the hare in approximately 1.04 minutes.

Answer

The dog will catch up to the hare in approximately 1.04 minutes.