Question

Длина 2 прыжков собаки равна длине 3 прыжков зайца.За время,когда собака делает 3 прыжка,заяц делает 5 прыжков.Может ли собака догнать зайца? Почему!

Answer 1

Если собака сделает 6=3*2 прыжка, то зайцу понадобится 3*3=9 прыжков, чтобы пройти такое же расстояние.
Но заяц за это время сделает 2*5=10 прыжков, то есть пройдёт большее расстояние, чем собака.
Собака НЕ догонит зайца.

Answer 2

Can the dog catch the hare?

To determine if the dog can catch the hare, we need to compare the distances covered by each animal during the same period of time.

Given that the length of 2 jumps by the dog is equal to the length of 3 jumps by the hare, and the hare makes 5 jumps in the same time it takes the dog to make 3 jumps, we can calculate the ratio of the distances covered by each animal.

Let's assume that the distance covered by the dog in 3 jumps is D, and the distance covered by the hare in 5 jumps is H.

Based on the given information, we can set up the following equation:

2D = 3H (since the length of 2 jumps by the dog is equal to the length of 3 jumps by the hare)

We also know that the hare makes 5 jumps in the same time it takes the dog to make 3 jumps. Therefore, the ratio of the distances covered by each animal is:

D/H = 3/5

To determine if the dog can catch the hare, we need to compare the distances covered by each animal. If the ratio of the distances is greater than or equal to 1, then the dog can catch the hare. Otherwise, the hare will be faster and the dog will not be able to catch it.

Let's calculate the ratio:

D/H = 3/5 = 0.6

Since the ratio of the distances covered by the dog and the hare is 0.6, which is less than 1, it means that the hare is faster than the dog. Therefore, the dog cannot catch the hare.

Why can't the dog catch the hare?

The reason the dog cannot catch the hare is that the hare covers a greater distance in the same amount of time. This can be explained by the fact that the hare makes 5 jumps while the dog only makes 3 jumps in the same period. Additionally, the length of 2 jumps by the dog is equal to the length of 3 jumps by the hare, which further contributes to the hare's advantage in terms of distance covered.

Based on the given information, we can conclude that the hare is faster than the dog and will be able to maintain a distance ahead of the dog. Therefore, the dog cannot catch the hare.

Please note that the information provided is based on the given scenario and calculations.